332354 + Interview Questions in Secondary School in Math

1.	2 Test the Divisibility of the number by9.-@ 647514
Answer» Answer: to GET DIVISIBLE by 9 , SUM of all numbers MUST be divisible by 9 6+4+7+5+1+4 = 27 we know that 27 is divisible by 9. so 647514 is divisible by 9

1.

2 Test the Divisibility of the number by9.-@ 647514

Answer»

Answer:

to GET DIVISIBLE by 9 , SUM of all numbers MUST be divisible by 9

6+4+7+5+1+4 = 27

we know that 27 is divisible by 9.

so 647514 is divisible by 9

Discussion

2.	WHAT IS THE ANS FOR Q2 AND 3
Answer» Answer: PLS post the question I am not ABLE to HELP you sorry Step-by-step explanation:

2.

WHAT IS THE ANS FOR Q2 AND 3

Answer»

Answer: PLS post the question I am not ABLE to HELP you sorry

Step-by-step explanation:

Discussion

3.	Simplify:- (5+2√3)----------- (7+4√3)
Answer» ANSWER: HOPE it helps you... pls MARK as BRAINLIST.....

3.

Simplify:- (5+2√3)----------- (7+4√3)

Answer»

ANSWER:

HOPE it helps you... pls MARK as BRAINLIST.....

Discussion

4.	The 4th term of an A.P. is equal to 3 times of the first term and the 7th term exceeds the 3rd term by 1. Find the first term and common difference.
Answer» GIVEN :- The 4th term of an A.P. is equal to 3 times of the first term and the 7th term EXCEEDS the 3rd term by 1. Solution :- Let first term is a and common difference is d . so, → 4th term = 3a → a + (4 - 1)d = 3a → a + 3D = 3a → 3d = 3a - a → 3d = 2a -------- Eqn.(1) and, → T(7) - T(3) = 1 → (a + 6d) - (a + 2d) = 1 → a - a + 6d - 2d = 1 → 4d = 1 → d = (1/4) PUTTING value of d in Eqn.(1) → 3 * (1/4) = 2a → 2a = 3/4 → a = (3/8) therefore, first term of given AP is (3/8) and common difference is (1/4) . Learn more :- EVALUATE the expression given by 83 - 81 + 87 - 85 +__________ + 395 - 393 + 399 - 397 brainly.in/question/14081691 If the nth term of an AP is (2n+5),the sum of first10 terms is brainly.in/question/23676839

4.

The 4th term of an A.P. is equal to 3 times of the first term and the 7th term exceeds the 3rd term by 1. Find the first term and common difference.

Answer»

GIVEN :- The 4th term of an A.P. is equal to 3 times of the first term and the 7th term EXCEEDS the 3rd term by 1.

Solution :-

Let first term is a and common difference is d .

so,

→ 4th term = 3a

→ a + (4 - 1)d = 3a

→ a + 3D = 3a

→ 3d = 3a - a

→ 3d = 2a -------- Eqn.(1)

and,

→ T(7) - T(3) = 1

→ (a + 6d) - (a + 2d) = 1

→ a - a + 6d - 2d = 1

→ 4d = 1

→ d = (1/4)

PUTTING value of d in Eqn.(1)

→ 3 * (1/4) = 2a

→ 2a = 3/4

→ a = (3/8)

therefore, first term of given AP is (3/8) and common difference is (1/4) .

Learn more :-

EVALUATE the expression given by 83 - 81 + 87 - 85 +__________ + 395 - 393 + 399 - 397

brainly.in/question/14081691

If the nth term of an AP is (2n+5),the sum of first10 terms is

brainly.in/question/23676839

Discussion

5.	If f(x) = ax +bx+c has no real zeros and a +b+c< 0then
Answer» Answer: ANSWER The GRAPH of the function satisfying the GIVEN conditions is SHOWN in the above picture. We can observe that the graph doesn't touch the X-axis i.e. it doesn't have any real roots and the value of f(1)=a+b+C<0. Now substitue x=0. Then we can observe that f(0)=c<0 ∴ Option C is corrrect.

5.

If f(x) = ax +bx+c has no real zeros and a +b+c< 0then

Answer»

Answer:

ANSWER

The GRAPH of the function satisfying the GIVEN conditions is SHOWN in the above picture.

We can observe that the graph doesn't touch the X-axis i.e. it doesn't have any real roots and the value of f(1)=a+b+C<0.

Now substitue x=0.

Then we can observe that f(0)=c<0

∴ Option C is corrrect.

Discussion

6.	3. Solve the equation 2x – 5x + 3 = 0 by the method of completing square.
Answer» TAKE it as quatatic equation 2x-(2x+3x)+3=0 take 2 as common so 2(x-1)+3(x-1)=0 x=1 and x=5 i think if not sorry for time WASTE of.ur

6.

3. Solve the equation 2x – 5x + 3 = 0 by the method of completing square.

Answer»

TAKE it as quatatic equation

2x-(2x+3x)+3=0

take 2 as common so

2(x-1)+3(x-1)=0

x=1 and x=5

i think if not sorry for time WASTE of.ur

Discussion

7.	3 4/7 of 3/5 please please please please
Answer» Answer: 34/7×3/5 =102/35(ans) I HOPE it will help you GIVE me a lot of thanks then I give my BEST

7.

3 4/7 of 3/5 please please please please

Answer»

Answer:

34/7×3/5 =102/35(ans)

I HOPE it will help you

GIVE me a lot of thanks

then I give my BEST

Discussion

8.	If Cos2A=1/2 find SinA
Answer» ANSWER: Step-by-step EXPLANATION: cos2A=1/2 =1-2sin^2A=1/2 =-2sin^2A=-1/2 =2sin^2A=1/2 =sin^2A=1/4 =sinA=1/2

8.

If Cos2A=1/2 find SinA

Answer»

ANSWER:

Step-by-step EXPLANATION:

cos2A=1/2

=1-2sin^2A=1/2

=-2sin^2A=-1/2

=2sin^2A=1/2

=sin^2A=1/4

=sinA=1/2

Discussion

9.	x²+2√2x-6 find zeroes by factorization method and verify relationship between zeroes and coefficients
Answer» Step-by-step EXPLANATION: HOPE it's HELPFUL if helpful MARK as BRAINLIEST

9.

x²+2√2x-6 find zeroes by factorization method and verify relationship between zeroes and coefficients

Answer»

Step-by-step EXPLANATION:

HOPE it's HELPFUL

if helpful MARK as BRAINLIEST

Discussion

10.	Find the inverse point of P(-2,3) with the circle x²+y²-4x-6y+9=0
Answer» The inverse point of P(-2,3) with the circle x²+y²-4x-6y+9=0 is (1,3) Step-by-step explanation: The given equation of the circle is $x^2+y^2-4x-6y+9=0$ $\implies (x^2-2\times2x+4)+(y^2-2\times 3y+9)+9-4-9=0$ $\implies x^2-2\times x\times 2+2^2)+(y^2-2\times y]times 3+3^2)=4$ $\implies (x-2)^2+(y-3)^2=2^2$ Clearly, we can say that the centre of the circle is $(2,3)$ and radius is $2$ units We KNOW that inverse of a point P (x',y') w.r.t. a circle with centre at (h,k) and radius r is point (x",y") such that $x$ And, $y$ Where, $\alpha=\frac{r^2}{(x'-h)^2+(y'-k)^2}$ The given point is (-2,3) Thus, $\alpha=\frac{4}{(-2-2)^2+(3-3)^3}$ $\implies \alpha=\frac{1}{4}$ Therefore, the x-COORDINATE of the inverse point $x$ $\implies x$ The y-coordinate of the inverse point $x$ $\implies y$ Therefore, the coordinate of the inverse point is $(1,3)$ Hope this answer is helpful. Know More: Q: The inverse of (1,3) with the RESPECT of the circle x2+y2-4x-6y+9=0 Click Here: brainly.in/question/17419666

10.

Find the inverse point of P(-2,3) with the circle x²+y²-4x-6y+9=0

Answer»

The inverse point of P(-2,3) with the circle x²+y²-4x-6y+9=0 is (1,3)

Step-by-step explanation:

The given equation of the circle is

$x^2+y^2-4x-6y+9=0$

$\implies (x^2-2\times2x+4)+(y^2-2\times 3y+9)+9-4-9=0$

$\implies x^2-2\times x\times 2+2^2)+(y^2-2\times y]times 3+3^2)=4$

$\implies (x-2)^2+(y-3)^2=2^2$

Clearly, we can say that the centre of the circle is $(2,3)$ and radius is $2$ units

We KNOW that inverse of a point P (x',y') w.r.t. a circle with centre at (h,k) and radius r is point (x",y") such that

$x$

And, $y$

Where,

$\alpha=\frac{r^2}{(x'-h)^2+(y'-k)^2}$

The given point is (-2,3)

Thus,

$\alpha=\frac{4}{(-2-2)^2+(3-3)^3}$

$\implies \alpha=\frac{1}{4}$

Therefore,

the x-COORDINATE of the inverse point

$x$

$\implies x$

The y-coordinate of the inverse point

$x$

$\implies y$

Therefore, the coordinate of the inverse point is $(1,3)$

Hope this answer is helpful.

Know More:

Q: The inverse of (1,3) with the RESPECT of the circle x2+y2-4x-6y+9=0

Click Here: brainly.in/question/17419666

Discussion

11.	З23x+2° — 94
Answer» ANSWER: B you WANT chat history between Step-by-step explanation:

11.

З23x+2° — 94

Answer»

ANSWER: B you WANT chat history between

Step-by-step explanation:

Discussion

12.	Find a relation between x and y such that the point p(x,y) from A (5,1)and B (-1,5) are equal
Answer» Answer: ye HOGA but realation nhi PTA HAI

12.

Find a relation between x and y such that the point p(x,y) from A (5,1)and B (-1,5) are equal

Answer»

Answer:

ye HOGA but realation nhi PTA HAI

Discussion

13.	Factories x^2+11x+30
Answer» Answer: (X+5) (x+6) Step-by-step EXPLANATION: X² + 11X + 30 = x² + 5X + 6x +30 = x(x+5)+6(x+5) = (x+5) (x+6)

13.

Factories x^2+11x+30

Answer»

Answer:

(X+5) (x+6)

Step-by-step EXPLANATION:

X² + 11X + 30

= x² + 5X + 6x +30

= x(x+5)+6(x+5)

= (x+5) (x+6)

Discussion

14.	If alpha and betaare the zeroes of thequadratic polynomial f(x) = x^2 -p ( x+ 1) -c , show that(α+ 1) (β + 1 ) = 1 - c
Answer» To ProvE : (α+ 1) (β + 1 ) = 1 - c SolutioN : <P> $\tt \dagger \: \: \: \: \: Sum \: of \: Zeros.$ $\tt \dagger \: \: \: \: \: \alpha + \beta = \dfrac{ - b}{a}$ $\tt \dagger \: \: \: \: \: product \: of \: Zeros.$ $\tt \dagger \: \: \: \: \: \alpha \beta = \dfrac{c}{a}$ A/Q, We have EQUATION, $\tt \dagger \: \: \: \: \: {x}^{2} - p(x + 1) - c.$ $\tt : \implies {x}^{2} - p(x + 1) - c.$ $\tt \dagger \: \: \: \: \: {x}^{2} - px - p - c.$ Compare with GENERAL Expression. $\tt \dagger \: \: \: \: \: a {x}^{2} + bx + c$ Where as, a = 1. b = -p c = - p - c. Now, → (α+ 1) (β + 1 ) → αβ + α + β + 1. Product of Zeros ( αβ ) → - p - c Sum of Zeros ( α + β ) → p. ★ Putting the GIVEN value on it. → αβ + α + β + 1. → - p - c + p + 1. → - c + 1. Hence Proved.

14.

If alpha and betaare the zeroes of thequadratic polynomial f(x) = x^2 -p ( x+ 1) -c , show that(α+ 1) (β + 1 ) = 1 - c

Answer»

To ProvE :

(α+ 1) (β + 1 ) = 1 - c

SolutioN :

<P> $\tt \dagger \: \: \: \: \: Sum \: of \: Zeros.$

$\tt \dagger \: \: \: \: \: \alpha + \beta = \dfrac{ - b}{a}$

$\tt \dagger \: \: \: \: \: product \: of \: Zeros.$

$\tt \dagger \: \: \: \: \: \alpha \beta = \dfrac{c}{a}$

A/Q,

We have EQUATION,

$\tt \dagger \: \: \: \: \: {x}^{2} - p(x + 1) - c.$

$\tt : \implies {x}^{2} - p(x + 1) - c.$

$\tt \dagger \: \: \: \: \: {x}^{2} - px - p - c.$

Compare with GENERAL Expression.

$\tt \dagger \: \: \: \: \: a {x}^{2} + bx + c$

Where as,

a = 1.
b = -p
c = - p - c.

Now,

→ (α+ 1) (β + 1 )

→ αβ + α + β + 1.

Product of Zeros ( αβ ) → - p - c
Sum of Zeros ( α + β ) → p.

★ Putting the GIVEN value on it.

→ αβ + α + β + 1.

→ - p - c + p + 1.

→ - c + 1.

Hence Proved.

Discussion

15.	If x+1/x =6, find the value of x cube + 1/x cube
Answer» ANSWER: Step-by-step EXPLANATION:

15.

If x+1/x =6, find the value of x cube + 1/x cube

Answer»

ANSWER:

Step-by-step EXPLANATION:

Discussion

16.	Find 5/8 of 3 5/6 please please
Answer» ANSWER: 115/48 Mixed NUMBER form: 2 19/48 I'm very SORRY if this doesn't HELP you... Stay safe and continue to WORK hard

16.

Find 5/8 of 3 5/6 please please

Answer»

ANSWER: 115/48

Mixed NUMBER form: 2 19/48

I'm very SORRY if this doesn't HELP you...

Stay safe and continue to WORK hard

Discussion

17.	Test the Divisibility of the number by 9-a) 647514
Answer» Step-by-step explanation: 1: sum of GIVEN NUMBER will must be divisible by 9 6+4+7+5+1+4=27 2: 27 is divisible by 9 THEREFORE, 647514 is divisible by 9

17.

Test the Divisibility of the number by 9-a) 647514

Answer»

Step-by-step explanation:

1: sum of GIVEN NUMBER will must be divisible by 9

6+4+7+5+1+4=27

2: 27 is divisible by 9

THEREFORE, 647514 is divisible by 9

Discussion

18.	How mang terms are there in the ap 7,11,15,19---------203
Answer» Answer: 77 $\\ \\ \\ \\ \\ \\$

18.

How mang terms are there in the ap 7,11,15,19---------203

Answer»

Answer:

77

$\\ \\ \\ \\ \\ \\$

Discussion

19.	Find k if following pairs of linear equation have infinite solution 2x -3y= 7 ; (k+2) - 2(k+1)y -3 (2k-1)
Answer» Answer: 5 is the ANNSWER FOLLOW me

19.

Find k if following pairs of linear equation have infinite solution 2x -3y= 7 ; (k+2) - 2(k+1)y -3 (2k-1)

Answer»

Answer:

5 is the ANNSWER FOLLOW me

Discussion

20.	The sum of the 5th term and the 9th term of an A.P. is 30. If its 25th term is three times its 18th term, find the A.P.
Answer» Solution : (Ques. Error ) $\bf{\red{\underline{\underline{\bf{Given\::}}}}}$ The sum of the 5th term and the 9th term of an A.P. is 30. If its 25th term is three times it's 8 term. $\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$ The A.P. $\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$ We know that formula of an A.P; $\boxed{\bf{a_{n}=a+(n-1)d}}}}}$ a is the term. d is the common difference. n is the term of an A.P. A/q $\longrightarrow\sf{a+(5-1)d+a+(9-1)d=30}\\\\\longrightarrow\sf{a+4d+a+8d=30}\\\\\longrightarrow\sf{2a+12d=30}\\\\\longrightarrow\sf{2(a+6d)=30}\\\\\longrightarrow\sf{a+6d=\cancel{\dfrac{30}{2} }}\\\\\longrightarrow\sf{a+6d=15.......................(1)}$ & $\longrightarrow\sf{a_{25}=3\times a_{8}}\\\\\longrightarrow\sf{a+(25-1)d=3\times [a+(8-1)d]}\\\\\longrightarrow\sf{a+24d=3\times (a+7d)}\\\\\longrightarrow\sf{a+24d=3a+21d}\\\\\longrightarrow\sf{a-3a=21d-24d}\\\\\longrightarrow\sf{\cancel{-}2a=\cancel{-}3d}\\\\\longrightarrow\sf{2a=3d}\\\\\longrightarrow\sf{a=\dfrac{3d}{2}....................(2) }$ Now; PUTTING the value of a in EQUATION (1),we GET; $\longrightarrow\sf{\dfrac{3d}{2} +6d=15}\\\\\\\longrightarrow\sf{3d+12d=30}\\\\\\\longrightarrow\sf{15d=30}\\\\\\\longrightarrow\sf{d=\cancel{\dfrac{30}{15} }}\\\\\\\longrightarrow\sf{\orange{d=2}}$ Putting the value of d in equation (2),we get; $\longrightarrow\sf{a=\dfrac{3(2)}{2} }\\\\\\\longrightarrow\sf{a=\cancel{\dfrac{6}{2}} }\\\\\\\longrightarrow\sf{\orange{a=3}}$ Thus; $\boxed{\bf{Arithmetic\:progression\::}}}$ $\bullet\:\sf{a=\boxed{3}}}\\\\\bullet\:\sf{a+d=3+2=\boxed{5}}}\\\\\bullet\:\sf{a+2d=3+2(2)=3+4=\boxed{7}}}\\\\\bullet\:\sf{a+3d=3+3(2)=3+6=\boxed{9}}}\\$

20.

The sum of the 5th term and the 9th term of an A.P. is 30. If its 25th term is three times its 18th term, find the A.P.

Answer»

Solution : (Ques. Error )

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

The sum of the 5th term and the 9th term of an A.P. is 30. If its 25th term is three times it's 8 term.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The A.P.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

We know that formula of an A.P;

$\boxed{\bf{a_{n}=a+(n-1)d}}}}}$

a is the term.
d is the common difference.
n is the term of an A.P.

A/q

$\longrightarrow\sf{a+(5-1)d+a+(9-1)d=30}\\\\\longrightarrow\sf{a+4d+a+8d=30}\\\\\longrightarrow\sf{2a+12d=30}\\\\\longrightarrow\sf{2(a+6d)=30}\\\\\longrightarrow\sf{a+6d=\cancel{\dfrac{30}{2} }}\\\\\longrightarrow\sf{a+6d=15.......................(1)}$

&

$\longrightarrow\sf{a_{25}=3\times a_{8}}\\\\\longrightarrow\sf{a+(25-1)d=3\times [a+(8-1)d]}\\\\\longrightarrow\sf{a+24d=3\times (a+7d)}\\\\\longrightarrow\sf{a+24d=3a+21d}\\\\\longrightarrow\sf{a-3a=21d-24d}\\\\\longrightarrow\sf{\cancel{-}2a=\cancel{-}3d}\\\\\longrightarrow\sf{2a=3d}\\\\\longrightarrow\sf{a=\dfrac{3d}{2}....................(2) }$

Now;

PUTTING the value of a in EQUATION (1),we GET;

$\longrightarrow\sf{\dfrac{3d}{2} +6d=15}\\\\\\\longrightarrow\sf{3d+12d=30}\\\\\\\longrightarrow\sf{15d=30}\\\\\\\longrightarrow\sf{d=\cancel{\dfrac{30}{15} }}\\\\\\\longrightarrow\sf{\orange{d=2}}$

Putting the value of d in equation (2),we get;

$\longrightarrow\sf{a=\dfrac{3(2)}{2} }\\\\\\\longrightarrow\sf{a=\cancel{\dfrac{6}{2}} }\\\\\\\longrightarrow\sf{\orange{a=3}}$

Thus;

$\boxed{\bf{Arithmetic\:progression\::}}}$

$\bullet\:\sf{a=\boxed{3}}}\\\\\bullet\:\sf{a+d=3+2=\boxed{5}}}\\\\\bullet\:\sf{a+2d=3+2(2)=3+4=\boxed{7}}}\\\\\bullet\:\sf{a+3d=3+3(2)=3+6=\boxed{9}}}\\$

Discussion

21.	The multiplicative inverse of -i is :(a) 1(b) 0(c)i(d) -i
Answer» d -i hope it HELPS you.... THANKS

21.

The multiplicative inverse of -i is :(a) 1(b) 0(c)i(d) -i

Answer»

d -i

hope it HELPS you....

THANKS

Discussion

22.	Simplify : 3 1/4×2 1/3-1 1/4×1/5Please answer quickly
Answer» Step-by-step EXPLANATION: your ANSWER is 53.7 is CORRECT answer

22.

Simplify : 3 1/4×2 1/3-1 1/4×1/5Please answer quickly

Answer»

Step-by-step EXPLANATION:

your ANSWER is 53.7 is CORRECT answer

Discussion

23.	2)Solve the equation using "Crammer's Rule"a) 3x-2y=5b) 5x-y=5 Please Do Fast Its Urgent...
Answer» Step-by-step explanation: 3x = 2y + 5 x = [2y +5]/2 5x - y = 5 5x = 5 + y 5 * 2y+5/2 = 5+y (10y + 25)/2 = 5 + y 10y + 25 = 10 + 2y 8y = -15 y = -15/8

23.

2)Solve the equation using "Crammer's Rule"a) 3x-2y=5b) 5x-y=5 Please Do Fast Its Urgent...

Answer»

Step-by-step explanation:

3x = 2y + 5

x = [2y +5]/2

5x - y = 5

5x = 5 + y

5 * 2y+5/2 = 5+y

(10y + 25)/2 = 5 + y

10y + 25 = 10 + 2y

8y = -15

y = -15/8

Discussion

24.	Factories x^2-9x+14
Answer» ANSWER: hope it was helpful PLEASE MARK me as branliest.

24.

Factories x^2-9x+14

Answer»

ANSWER:

hope it was helpful PLEASE MARK me as branliest.

Discussion

25.	A stationer sells a pen stand for ₹124 making a profit of 3 1/3%. At what price should he sell the pen stand to make a profit of 15%
Answer» Answer: 1860 Step-by-step explanation: 124rs ---- 3 1/3% X ----- 15% 3 1/3x= 124X15 x= 124X15X3/3X1 x= 1860

25.

A stationer sells a pen stand for ₹124 making a profit of 3 1/3%. At what price should he sell the pen stand to make a profit of 15%

Answer»

Answer:

1860

Step-by-step explanation:

124rs ---- 3 1/3%

X ----- 15%

3 1/3x= 124X15

x= 124X15X3/3X1

x= 1860

Discussion

26.	9, 99, 999, 9999 . . . . . . . t₁₀₀ , Find the Sum ?
Answer» What is this? SORRY but I don't THINK I can HELP

26.

9, 99, 999, 9999 . . . . . . . t₁₀₀ , Find the Sum ?

Answer»

What is this?

SORRY but I don't THINK I can HELP

Discussion

27.	Find the sum of all the multiple of 3 between 20 and 50
Answer» Answer: 21+24+27+30+33+36+39+42+45+48=345 Hope so it's HELPFUL MARK as BRAINLIST...FOLLOW me..❤❤

27.

Find the sum of all the multiple of 3 between 20 and 50

Answer»

Answer:

21+24+27+30+33+36+39+42+45+48=345

Hope so it's HELPFUL MARK as BRAINLIST...FOLLOW me..❤❤

Discussion

28.	If+9^x+2+=+240+++9^x+then+x+=
Answer» hope it HELPS you... THANKS

28.

If+9^x+2+=+240+++9^x+then+x+=

Answer»

hope it HELPS you... THANKS

Discussion

29.	Plot the points A(1,5) B(-1,1) andC(4,1) name the figure so obtained Find it’s area
Answer» Given : COORDINATES of A = ( 1 , 5 ) Coordinates of B = ( -1 , 1 ) Coordinates of C = ( 4 , 1 ) To FIND : Area of triangle ABC Solution : Area of triangle is $\boxed{ \boxed{ \sf \purple{Area = \dfrac{1}{2} \bigg[ x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 -y_2) \bigg] }}}$ Here $\sf x_1 = 1 \: \: \: \: \: \: \: \: \: \: x_2 = - 1 \: \: \: \: \: \: \: \: x_3 = 4 \\ \\ \sf y_1 =5 \: \: \: \: \: \: \: \: \: \: y_2 = 1 \: \: \: \: \: \: \: \: \: \: \: \: y_3 = 1$ Substitute values in formula $\sf \implies \dfrac{1}{2} \bigg[ 1(1 - 1) - 1(1 - 5) + 4(5 - 1) \bigg] \\ \\\sf \implies \dfrac{1}{2} \bigg[ 1(0) - 1( -4) + 4(4) \bigg] \\ \\ \sf \implies \dfrac{1}{2} \bigg[0 + 4 + 16 \bigg] \\ \\ \sf \implies \frac{1}{2} \times 20 \\ \\\sf \implies10$ $\Large \underline {\sf \green{Area \: of \: triangle = 10 \: {unit}^{2}}}$

29.

Plot the points A(1,5) B(-1,1) andC(4,1) name the figure so obtained Find it’s area

Answer»

Given :

COORDINATES of A = ( 1 , 5 )

Coordinates of B = ( -1 , 1 )

Coordinates of C = ( 4 , 1 )

To FIND :

Area of triangle ABC

Solution :

Area of triangle is

$\boxed{ \boxed{ \sf \purple{Area = \dfrac{1}{2} \bigg[ x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 -y_2) \bigg] }}}$

Here

$\sf x_1 = 1 \: \: \: \: \: \: \: \: \: \: x_2 = - 1 \: \: \: \: \: \: \: \: x_3 = 4 \\ \\ \sf y_1 =5 \: \: \: \: \: \: \: \: \: \: y_2 = 1 \: \: \: \: \: \: \: \: \: \: \: \: y_3 = 1$

Substitute values in formula

$\sf \implies \dfrac{1}{2} \bigg[ 1(1 - 1) - 1(1 - 5) + 4(5 - 1) \bigg] \\ \\\sf \implies \dfrac{1}{2} \bigg[ 1(0) - 1( -4) + 4(4) \bigg] \\ \\ \sf \implies \dfrac{1}{2} \bigg[0 + 4 + 16 \bigg] \\ \\ \sf \implies \frac{1}{2} \times 20 \\ \\\sf \implies10$

$\Large \underline {\sf \green{Area \: of \: triangle = 10 \: {unit}^{2}}}$

Discussion

30.	Do anko vali divide kaise banti h
Answer» Answer: WHATS your QUESTION ? ? please write the whole question and then POST it again OK....

30.

Do anko vali divide kaise banti h

Answer»

Answer:

WHATS your QUESTION ? ?

please write the whole question and then POST it again

OK....

Discussion

31.	One third of the length of a pole will s underground, one fifth is in water and the remaining 7 meters is above water. How long is the pole
Answer» Answer: 15m Step-by-step explanation: LET THE LENGTH OF THE POLE BE X ACCORDING TO THE GIVEN STATEMENT, ⅓ x = underground ⅕ x = in water THEREFORE total length SUBMERGED = ⅕ + ⅓ = 8/15 x 15/15 x - 8/15 x = 7/15 x 7/15 x = 7 x = 15 * 7 / 7 = 15m

31.

One third of the length of a pole will s underground, one fifth is in water and the remaining 7 meters is above water. How long is the pole

Answer»

Answer:

15m

Step-by-step explanation:

LET THE LENGTH OF THE POLE BE X

ACCORDING TO THE GIVEN STATEMENT,

⅓ x = underground

⅕ x = in water

THEREFORE total length SUBMERGED = ⅕ + ⅓ = 8/15 x

15/15 x - 8/15 x = 7/15 x

7/15 x = 7

x = 15 * 7 / 7

= 15m

Discussion

32.	If y=tan(x+y), then find dy/dx
Answer» ANSWER: sec² ( X + y ) / ( 1 - sec² ( x + y ) Step-by-step explanation: GIVEN : y = tan ( x + y ) Diff. w.r.t. x : d y / d x = sec² ( x + y ) . ( x + y )' = > y' = sec² ( x + y ) . ( ( x )' + ( y )' ) = > y' = sec² ( x + y ) . ( 1 + y' ) = > y' = sec² ( x + y ) + y' ( sec² ( x + y ) ) = > y' - y' ( sec² ( x + y ) ) = sec² ( x + y ) = > y' ( 1 - sec² ( x + y ) ) = sec² ( x + y ) = > y' = sec² ( x + y ) / ( 1 - sec² ( x + y ) Therefore , d y / d x of given function y = tan ( x + y ) is sec² ( x + y ) / ( 1 - sec² ( x + y )

32.

If y=tan(x+y), then find dy/dx

Answer»

ANSWER:

sec² ( X + y ) / ( 1 - sec² ( x + y )

Step-by-step explanation:

GIVEN :

y = tan ( x + y )

Diff. w.r.t. x :

d y / d x = sec² ( x + y ) . ( x + y )'

= > y' = sec² ( x + y ) . ( ( x )' + ( y )' )

= > y' = sec² ( x + y ) . ( 1 + y' )

= > y' = sec² ( x + y ) + y' ( sec² ( x + y ) )

= > y' - y' ( sec² ( x + y ) ) = sec² ( x + y )

= > y' ( 1 - sec² ( x + y ) ) = sec² ( x + y )

= > y' = sec² ( x + y ) / ( 1 - sec² ( x + y )

Therefore , d y / d x of given function y = tan ( x + y ) is sec² ( x + y ) / ( 1 - sec² ( x + y )

Discussion

33.	Perimeter of a rectangle plot is 816 its length is 4 more than its breadth find the length and breadth
Answer» ANSWER: Step-by-step explanation: here is your answer given l=4+b perimeter =2(l+b) Replacing l we get 860=2(4+b+b) 860=8+4b 4b=852 b=213 sub this we get l=217 if U like it mark it as brainliest answer.

33.

Perimeter of a rectangle plot is 816 its length is 4 more than its breadth find the length and breadth

Answer»

ANSWER:

Step-by-step explanation:

here is your answer

given l=4+b

perimeter =2(l+b)

Replacing l we get

860=2(4+b+b)

860=8+4b

4b=852

b=213

sub this we get

l=217

if U like it mark it as brainliest answer.

Discussion

34.	In right tringle ABC, right angled at B, AB = 5 cm andAC - BC = 1cm. Determine the values of sinA, cos A and tan A.
Answer» Not UNDERSTANDING your QUESTION

Discussion

35.	A man can row 8km/h in still water and he finds that it takes him twice as long to row up as to row down the stream. What is the rate of the stream.
Answer» Step-by-step explanation: Let RATE of the stream =x km /h UPSTREAM speed of boat=(8-×) km/hr downstream speed of boat=(8+×) km/hr let distance =D km Time taken upstream =D/(8-×) Time taken downstream =D/(8+×) D/(8-×)=2D/(8+×) (8+×)=2(8-×) (8+×)=16-2x x+2x=16-8 3x=8 x=2.67km/hr If it helps please mark me in BRAINLEIST... (◕‿◕)

35.

A man can row 8km/h in still water and he finds that it takes him twice as long to row up as to row down the stream. What is the rate of the stream.

Answer»

Step-by-step explanation:

Let RATE of the stream =x km /h

UPSTREAM speed of boat=(8-×) km/hr

downstream speed of boat=(8+×) km/hr

let distance =D km

Time taken upstream =D/(8-×)

Time taken downstream =D/(8+×)

D/(8-×)=2D/(8+×)

(8+×)=2(8-×)

(8+×)=16-2x

x+2x=16-8

3x=8

x=2.67km/hr

If it helps please mark me in BRAINLEIST...

(◕‿◕)

Discussion

36.	Magic Square is an arrangement of 9 distinct integers in a Square, such that the numbers in all rows, all columns and both diagonals sum to the same constant.
Answer» ANSWER: Step-by-step EXPLANATION:hello Hg

36.

Magic Square is an arrangement of 9 distinct integers in a Square, such that the numbers in all rows, all columns and both diagonals sum to the same constant.

Answer»

ANSWER:

Step-by-step EXPLANATION:hello

Hg

Discussion

37.	7. Classify the following numbers as rational or irrational. (i) 2 - 3 (ii) 7.478478... (iii) (3+17) - 17
Answer» Answer: a) irrational b) rational but non TERMINATING and repeating c) rational Step-by-step EXPLANATION: in part a when any irrational no. is sub. from gives irrational no. and in b part no. is not ENDED so it is terminating but is repeated so in this case the no is rational and in c part -root 17 will CANCEL from +root 17

37.

7. Classify the following numbers as rational or irrational. (i) 2 - 3 (ii) 7.478478... (iii) (3+17) - 17

Answer»

Answer:

a) irrational

b) rational but non TERMINATING and repeating

c) rational

Step-by-step EXPLANATION:

in part a when any irrational no. is sub. from gives irrational no. and in b part no. is not ENDED so it is terminating but is repeated so in this case the no is rational and in c part -root 17 will CANCEL from +root 17

Discussion

38.	(ii) If y (3x - y) : x (4x + y²) = 5 : 12, find (x²+y²):(x+y)²
Answer» ANSWER: hiwihjigdviiygjjsiiiggjwod

38.

(ii) If y (3x - y) : x (4x + y²) = 5 : 12, find (x²+y²):(x+y)²

Answer»

ANSWER:

hiwihjigdviiygjjsiiiggjwod

Discussion

39.	Please tell LCM and HCF of 12 16 24
Answer» MARK my ANSWER as the BRAINLIEST

Discussion

40.	If a +5d=-22;a+d=38 are term of AP find those terms a1 or a2 or a3
Answer» Step-by-step EXPLANATION: a+5d=-22 ----equ 1 a+d=38 -----equ2 On solving equ 1 and 2 d=-15 a=53 Thus, a1=53, a2= a+d = 53+(-15)=38 a3= a2+d=38+(-15)=23 HOPE IT HELPS

40.

If a +5d=-22;a+d=38 are term of AP find those terms a1 or a2 or a3

Answer»

Step-by-step EXPLANATION:

a+5d=-22 ----equ 1

a+d=38 -----equ2

On solving equ 1 and 2

d=-15

a=53

Thus, a1=53,

a2= a+d = 53+(-15)=38

a3= a2+d=38+(-15)=23

HOPE IT HELPS

Discussion

41.	What is the answer of 10 divided by 5 square root 3 minus 3 square root 5. Any cool dudes out there who can help me with this??
Answer» Answer: -242. 92 Step-by-step explanation: 10÷(5)^3 - (3)^5 = 10÷125 - 243 = 0.08 - 243 = -242.92 HOPE this HELPS PLEASE mark as BRAINLIST

41.

What is the answer of 10 divided by 5 square root 3 minus 3 square root 5. Any cool dudes out there who can help me with this??

Answer»

Answer:

-242. 92

Step-by-step explanation:

10÷(5)^3 - (3)^5

= 10÷125 - 243

= 0.08 - 243

= -242.92

HOPE this HELPS PLEASE mark as BRAINLIST

Discussion

42.	-1) तीन संख्याओं का योग -1 है। यदि हम दूसरी संख्या को 2 से गुणा वसंख्या को 3 से गुणा कर जोड़ते हैं तो 5 प्राप्त होता है। यदि हमतीपहली और दूसरी के योगफल से घटाते हैं तो हमें -1 प्राप्त होता हैनिकाय के रूप में निरूपित करें। आव्यूह के प्रतिलोम का प्रयोग :निकालें।
Answer» Step-by-step EXPLANATION: *YRSYYYYUUUQUUUUUUUUOOOGG*GUZOSFOOOFFFNYUGAQQQSQQQKGJJJSQQQGDIIIFFFGGGYYYOUSSSSSDGJQQQQQQQQWIIIIIIIIIIIIOWHHHHHHHWWWHHHPHHHHSTTTTTTTTTTTFQQQHSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTUUUUUQYYYYYQIIIIIGKKKKKKKHHHHHUUUUUYYYYYYYYYIGWWWGKH

42.

-1) तीन संख्याओं का योग -1 है। यदि हम दूसरी संख्या को 2 से गुणा वसंख्या को 3 से गुणा कर जोड़ते हैं तो 5 प्राप्त होता है। यदि हमतीपहली और दूसरी के योगफल से घटाते हैं तो हमें -1 प्राप्त होता हैनिकाय के रूप में निरूपित करें। आव्यूह के प्रतिलोम का प्रयोग :निकालें।

Answer»

Step-by-step EXPLANATION:

YRSYYYYUUUQUUUUUUUUOOOGGGUZOSFOOOFFFNYUGAQQQSQQQKGJJJSQQQGDIIIFFFGGGYYYOUSSSSSDGJQQQQQQQQWIIIIIIIIIIIIOWHHHHHHHWWWHHHPHHHHSTTTTTTTTTTTFQQQHSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTUUUUUQYYYYYQIIIIIGKKKKKKKHHHHHUUUUUYYYYYYYYYIGWWWGKH

Discussion

43.	If the HCF and LCM of two numbers are 12 and 72 respectively. Find the product of two numbers
Answer» Answer: 864 Step-by-step explanation: As HCF × LCM = PRODUCT of integers product of integers = 12 × 72 Thus answer = 864 hope it helps you.... thanks

43.

If the HCF and LCM of two numbers are 12 and 72 respectively. Find the product of two numbers

Answer»

Answer:

864

Step-by-step explanation:

As

HCF × LCM = PRODUCT of integers

product of integers = 12 × 72

Thus answer = 864

hope it helps you....

thanks

Discussion

44.	Solve the linear equations by elimination and substitution method 3x-5y-4=0 and 9x=2y+7
Answer» Step-by-step EXPLANATION: x=9/13 I HOPE that above PROCEDURE HELPS U

44.

Solve the linear equations by elimination and substitution method 3x-5y-4=0 and 9x=2y+7

Answer»

Step-by-step EXPLANATION:

x=9/13

I HOPE that above PROCEDURE HELPS U

Discussion

45.	Ok so this is a very simple question ok but a tricky one mind it!!after answering comment me then I will tell u the answer is correct or not!!and also tell if anyone is of VARANASI!!
Answer» ANSWER: [ 0 , 8 ] Step-by-step explanation: Given, ⇒ - 1 ≤ x ≤ 3 SQUARE on each side ⇒ 1 ≤ x^2 ≤ 9 Adding - 1 to all ⇒ 1 - 1 ≤ x^2 - 1 ≤ 9 - 1 ⇒ 0 ≤ x^2 - 1 ≤ 8 Hence RANGE of the given function f(x) is [ 0 , 8 ]

45.

Ok so this is a very simple question ok but a tricky one mind it!!after answering comment me then I will tell u the answer is correct or not!!and also tell if anyone is of VARANASI!!

Answer»

ANSWER:

[ 0 , 8 ]

Step-by-step explanation:

Given,

⇒ - 1 ≤ x ≤ 3

SQUARE on each side

⇒ 1 ≤ x^2 ≤ 9

Adding - 1 to all

⇒ 1 - 1 ≤ x^2 - 1 ≤ 9 - 1

⇒ 0 ≤ x^2 - 1 ≤ 8

Hence RANGE of the given function f(x) is [ 0 , 8 ]

Discussion

46.	If alpha and beta arethe zeroesof thequadratic polynomial such that α+β=24 and α-β=8, find the quadratic polynomial having αand β as its zeroes
Answer» By elimination method I finded the ALPHA&beta I HOPE it's help you Plz MARK my answer as a brainliest answer

46.

If alpha and beta arethe zeroesof thequadratic polynomial such that α+β=24 and α-β=8, find the quadratic polynomial having αand β as its zeroes

Answer»

By elimination method I finded the ALPHA&beta

I HOPE it's help you

Plz MARK my answer as a brainliest answer

Discussion

47.	1-tan theta/1+tan theta= cot theta -1/ cot theta+1
Answer» ANSWER:do not know Step-by-step EXPLANATION:

47.

1-tan theta/1+tan theta= cot theta -1/ cot theta+1

Answer»

ANSWER:do not know

Step-by-step EXPLANATION:

Discussion

48.	Rationalise denominations of 5/root 5+ root 2
Answer» ANSWER: tajikw JAI suinvh WJ HB

48.

Rationalise denominations of 5/root 5+ root 2

Answer»

ANSWER:

tajikw JAI suinvh WJ HB

Discussion

49.	Answer please... ......
Answer» Answer: ANS : 27/8 Step-by-step explanation: 1st : X x (-3/2)-3 =(-8/27)-2 2nd : x x (8/27) = (729/64) 3RD : x =8/27 x 729/64 4th : x =27/ 8 Hope this will help you.......

49.

Answer please... ......

Answer»

Answer:

ANS : 27/8

Step-by-step explanation:

1st : X x (-3/2)-3 =(-8/27)-2

2nd : x x (8/27) = (729/64)

3RD : x =8/27 x 729/64

4th : x =27/ 8

Hope this will help you.......

Discussion

50.	Q1 . What should be added to 45,35,62,300 to get 45,35,72,300a) 10,000 b) 1,00,000 c) 1000Q2. 60,000 more than 17,00,00,000 is a) 17,60,00,000 b) 17,00,60,000 c) 17,06,00,000Q3. The number which is subtracted is calleda) minuend b) difference c) subtrahendQ4. (23,67,890 + 45,56,743) + 1000 = ( 45,56,743 + 1000) +__________ a) 23,67,890 b) 1000 c) 23,76,980Q5. The difference between the largest 8-digit number and the smallest 9-digit numbera) 1 b) 0 c) 1,00,000Q6. Add 7,56,93,000 ; 3,45,61,000 and 67,32,000 (1)Q7 . The sum of two numbers is 65,98,23,678. If one of the numbers is 45,00,67,856, find the other number. (2) Q8. Subtract 65,34,874 from 80,00,000 and check your answer Plz tell the ans
Answer» Answer: 1) 45, 35, 72, 300 - 45,35,62,300 = 10,000 a) 10,000 2) 17,00,00,000 + 60,000 = 17,00,60,000 b) 3) c) subtrahend 4) Both SIDES are equal a) 23,67,890 5) Largest 8 DIGIT no. = 9,99,99,999 Smallest 9 digit no. = 10,00,00,000 DIFFERENCE = 1 ( Both are consecutive numbers) a) 1 6) 7,56,93,000 + 3,45,61,000 + 67,32,000 = 11,69,92,000 7) 65,98,23,678 - 45,00,67,856 = 20,97,55,822 8) 80,00,000 - 65,34,874 = 14,65,126

50.

Q1 . What should be added to 45,35,62,300 to get 45,35,72,300a) 10,000 b) 1,00,000 c) 1000Q2. 60,000 more than 17,00,00,000 is a) 17,60,00,000 b) 17,00,60,000 c) 17,06,00,000Q3. The number which is subtracted is calleda) minuend b) difference c) subtrahendQ4. (23,67,890 + 45,56,743) + 1000 = ( 45,56,743 + 1000) +__________ a) 23,67,890 b) 1000 c) 23,76,980Q5. The difference between the largest 8-digit number and the smallest 9-digit numbera) 1 b) 0 c) 1,00,000Q6. Add 7,56,93,000 ; 3,45,61,000 and 67,32,000 (1)Q7 . The sum of two numbers is 65,98,23,678. If one of the numbers is 45,00,67,856, find the other number. (2) Q8. Subtract 65,34,874 from 80,00,000 and check your answer Plz tell the ans

Answer»

Answer:

1) 45, 35, 72, 300 - 45,35,62,300 = 10,000

a) 10,000

2) 17,00,00,000 + 60,000 = 17,00,60,000

b)

3) c) subtrahend

4) Both SIDES are equal

a) 23,67,890

5) Largest 8 DIGIT no. = 9,99,99,999

Smallest 9 digit no. = 10,00,00,000

DIFFERENCE = 1 ( Both are consecutive numbers)

a) 1

6) 7,56,93,000 + 3,45,61,000 + 67,32,000

= 11,69,92,000

7) 65,98,23,678 - 45,00,67,856 = 20,97,55,822

8) 80,00,000 - 65,34,874 = 14,65,126

Discussion

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Hope so it's HELPFUL MARK as BRAINLIST...FOLLOW me..❤❤

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Given :

To FIND :

Solution :

Do anko vali divide kaise banti h

OK....

One third of the length of a pole will s underground, one fifth is in water and the remaining 7 meters is above water. How long is the pole

15m

LET THE LENGTH OF THE POLE BE X

⅓ x = underground

⅕ x = in water

15/15 x - 8/15 x = 7/15 x

7/15 x = 7

x = 15 * 7 / 7

= 15m

If y=tan(x+y), then find dy/dx

ANSWER:

Step-by-step explanation:

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YRSYYYYUUUQUUUUUUUUOOOGGGUZOSFOOOFFFNYUGAQQQSQQQKGJJJSQQQGDIIIFFFGGGYYYOUSSSSSDGJQQQQQQQQWIIIIIIIIIIIIOWHHHHHHHWWWHHHPHHHHSTTTTTTTTTTTFQQQHSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTUUUUUQYYYYYQIIIIIGKKKKKKKHHHHHUUUUUYYYYYYYYYIGWWWGKH

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Ok so this is a very simple question ok but a tricky one mind it!!after answering comment me then I will tell u the answer is correct or not!!and also tell if anyone is of VARANASI!!

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Answer please... ......