332354 + Interview Questions in Secondary School in Math

1.	Differentiate the function y=2x/x+1
Answer» $The \: \: answer \: \: is \: \: given \: \: below :\\ \\ RULE: \\ \\ We \: \: know \: \: that,\\ \\ \frac{d}{dx} ( \frac{u}{v} ) \\ \\ = \frac{v \frac{du}{dx} - u \frac{dv}{dx} }{ {v}^{2} }, \\ where \: \: u \: \: and \: \: v \: \: are \: \: functions \\ of \: \: x.\\ \\ SOLUTION: \\ \\ Given,\\ \\ y = \frac{2x}{x + 1} \\ \\ Now, \: \: differentiating \: \: both \: \: \\ sides \: \: with \: \: respect \: \: to \: \: x,\\ we \: \: get: \\ \\ \frac{dy}{dx} = \frac{d}{dx} ( \frac{2x}{x + 1} ) \\ \\ = \frac{(x + 1) \frac{d}{dx}(2x) - 2x \frac{d}{dx} (x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{(x + 1) (2)- 2x(1)}{ {(x + 1)}^{2} } \\ \\ = \frac{2x + 2 - 2x}{ {(x + 1)}^{2} } \\ \\ = \frac{2}{ {(x + 1)}^{2} } \: \: \: (Answer) \\ \\ Thank \: \: you \: \: for \: \: the \: \: question.$

Discussion

2.	An angle measuring180 degree angle is called
Answer» An ANGLE measuring180 DEGREE angle is CALLED STRAIGHT angle

Discussion

3.	Evaluate 25 ×(-33)+25×(-17)
Answer» Here is UR ANSWER:- 25×(-33)+25(-17) =25(-33-17) =25( -50) =-1250

Discussion

4.	Write the smallest 8 digit number using 5 different digits
Answer» FIVE DIFFERENT DIGITS are 0,1,2,3,4 Answer is 10000234

Discussion

5.	If x=k-1 and y=2k-1 is a solution of an equation of 3x+2y+7=0
Answer» Hey there ‼ ______________________________ Given, x = K – 1 and y = 2k – 1 3x + 2y + 7 = 0 3 ( k – 1 ) + 2 ( 2k – 1 ) + 7 = 0 3k – 3 + 4K – 2 + 7 = 0 7k + 2 = 0 7k = –2 k = –2/7 ______________________________

Discussion

6.	Least number of 4 digits when increased by 7 is divisible by 35 48 56
Answer» First take the LCM of 35 48 56 you will get 1680 so the LEAST digit no. is 1680 -7 = 1673 now CHECK the answer 1680/35=48 1680/48=35 1680/56=30 so the answer will be 1673 hope it helps

Discussion

7.	Find the reminder on when 3x4-4x3-3x-1
Answer» The ANSWER is 12-12+3 =3.

Discussion

8.	If A+B+C=180, sinA-sinB+sinC=
Answer» $\textbf{Given:}$ $\displaystyle\,A+B+C=180^{\circ}$ $\displaystyle\,sin\,A-sin\,B+sin\,C$ $\text{Using}$ $\boxed{\bf\sin\,C-sin\,D=2\,cos(\frac{C+D}{2})\,sin(\frac{C-D}{2})}$ $=\displaystyle\,2\,cos(\frac{A+B}{2})\,sin(\frac{A-B}{2})+sin\,C$ $=\displaystyle2\,cos(\frac{180^{\circ}-C}{2})\,sin(\frac{A-B}{2})+sin\,C$ $\text{using}$ $\boxed{\bf\sin\,A=2\,sin(\frac{A}{2})\,cos(\frac{A}{2})}$ $=\displaystyle\,2\,cos(90^{\circ}-(\frac{C}{2}))\,sin(\frac{A-B}{2})+2\,sin\,(\frac{C}{2})\,cos(\frac{c}{2})$ $=\displaystyle\,2\,sin(\frac{C}{2})\,sin\,(\frac{A-B}{2})+2\,sin(\frac{C}{2})\,cos(\frac{C}{2})$ $=\displaystyle\,2\,sin(\frac{C}{2})\,(sin(\frac{A-B}{2})+cos(\frac{C}{2}))$ $=\displaystyle\,2\,sin(\frac{C}{2})[sin(\frac{A-B}{2})+cos(\frac{180^{\circ}-(A+B)}{2})]$ $=\displaystyle\,2\,sin(\frac{C}{2})\,[sin(\frac{A-B}{2})+cos\,(90^{\circ}-(\frac{A+B}{2}))]$ $\boxed{\bf\,sin(A+B)+sin(A-B)=2\,sin\,A\,cos\,B}$ $=\displaystyle\,2\,sin(\frac{C}{2})\,[sin(\frac{A-B}{2})+sin(\frac{A+B}{2})]$ $=\displaystyle\,2\,sin(\frac{C}{2})[2\,sin(\frac{A}{2})\,cos(\frac{B}{2})]$ $=\displaystyle\,4\,sin(\frac{A}{2})\,cos(\frac{B}{2})\,sin(\frac{C}{2})$ $\implies\boxed{\bf\,sin\,A-sin\,B+sin\,C=4\,sin(\frac{A}{2})\,cos(\frac{B}{2})\,sin(\frac{C}{2})}$

8.

If A+B+C=180, sinA-sinB+sinC=

Answer»

$\textbf{Given:}$

$\displaystyle\,A+B+C=180^{\circ}$

$\displaystyle\,sin\,A-sin\,B+sin\,C$

$\text{Using}$

$\boxed{\bf\sin\,C-sin\,D=2\,cos(\frac{C+D}{2})\,sin(\frac{C-D}{2})}$

$=\displaystyle\,2\,cos(\frac{A+B}{2})\,sin(\frac{A-B}{2})+sin\,C$

$=\displaystyle2\,cos(\frac{180^{\circ}-C}{2})\,sin(\frac{A-B}{2})+sin\,C$

$\text{using}$

$\boxed{\bf\sin\,A=2\,sin(\frac{A}{2})\,cos(\frac{A}{2})}$

$=\displaystyle\,2\,cos(90^{\circ}-(\frac{C}{2}))\,sin(\frac{A-B}{2})+2\,sin\,(\frac{C}{2})\,cos(\frac{c}{2})$

$=\displaystyle\,2\,sin(\frac{C}{2})\,sin\,(\frac{A-B}{2})+2\,sin(\frac{C}{2})\,cos(\frac{C}{2})$

$=\displaystyle\,2\,sin(\frac{C}{2})\,(sin(\frac{A-B}{2})+cos(\frac{C}{2}))$

$=\displaystyle\,2\,sin(\frac{C}{2})[sin(\frac{A-B}{2})+cos(\frac{180^{\circ}-(A+B)}{2})]$

$=\displaystyle\,2\,sin(\frac{C}{2})\,[sin(\frac{A-B}{2})+cos\,(90^{\circ}-(\frac{A+B}{2}))]$

$\boxed{\bf\,sin(A+B)+sin(A-B)=2\,sin\,A\,cos\,B}$

$=\displaystyle\,2\,sin(\frac{C}{2})\,[sin(\frac{A-B}{2})+sin(\frac{A+B}{2})]$

$=\displaystyle\,2\,sin(\frac{C}{2})[2\,sin(\frac{A}{2})\,cos(\frac{B}{2})]$

$=\displaystyle\,4\,sin(\frac{A}{2})\,cos(\frac{B}{2})\,sin(\frac{C}{2})$

$\implies\boxed{\bf\,sin\,A-sin\,B+sin\,C=4\,sin(\frac{A}{2})\,cos(\frac{B}{2})\,sin(\frac{C}{2})}$

Discussion

9.	550 people can complete a work in 100days.After 10 days start of the work 50 more people join.In how many more days now the work will completed
Answer» 550 people can do the work in 100 days ⇒ 1 day = 1/100 of the work Amount of work completed by 550 people in 10 days: 1 day = 1/100 10days = 1/100 x 10 = 10/100 = 1/10 of the work Amount of work left to do after the 10 days: Amount of work left = 1 - 1/10 = 9/10 of the work ------------------------------------------------------------------------ Number of people after 50 joined in: 550 + 50 = 600 people Find the number of days needed for 600 people to complete the work: 550 people = 100 days 1 PERSON = 100 x 550 = 55000 days 600 people = 55000 ÷ 600 = 275/3 days Find the number of days needed to complete the rest of the work: Rest of the work = 9/10 of the work whole work = 275/3 days 9/10 of the work = 9/10 x 275/3 = 82.5 days Answer: They need ANOTHER 82.5 days

9.

550 people can complete a work in 100days.After 10 days start of the work 50 more people join.In how many more days now the work will completed

Answer»

550 people can do the work in 100 days

⇒ 1 day = 1/100 of the work

Amount of work completed by 550 people in 10 days:

1 day = 1/100

10days = 1/100 x 10 = 10/100 = 1/10 of the work

Amount of work left to do after the 10 days:

Amount of work left = 1 - 1/10 = 9/10 of the work

------------------------------------------------------------------------

Number of people after 50 joined in:

550 + 50 = 600 people

Find the number of days needed for 600 people to complete the work:

550 people = 100 days

1 PERSON = 100 x 550 = 55000 days

600 people = 55000 ÷ 600 = 275/3 days

Find the number of days needed to complete the rest of the work:

Rest of the work = 9/10 of the work

whole work = 275/3 days

9/10 of the work = 9/10 x 275/3 = 82.5 days

Answer: They need ANOTHER 82.5 days

Discussion

10.	Answer me 21st question pls
Answer» We have TWO ZEROES here 1ST 2/√3 and 2ND 2√3

Discussion

11.	Find value of √32+√48divided by √8+√12 with full solution
Answer» Root 32+root48/ (ROOT8 +root12)=4ROOT2 +4root3/(2root2+2root3) . Next,take 2 COMMON and the answer is 2

Discussion

12.	root 8 + root 7 upon root 8 minus root 7 Y is equal to root 8 minus root 7 upon root 8 + root 7 find the value of x square + y square minus 3xy
Answer» Hey friend, Here is the ANSWER you were looking for: $x = \frac{ \sqrt{8} + \sqrt{7} }{ \sqrt{8} - \sqrt{7} } \\$ On rationalizing the denominator we get: $x = \frac{ \sqrt{8} + \sqrt{7} }{ \sqrt{8} - \sqrt{7} } \times \frac{ \sqrt{8} + \sqrt{7} }{ \sqrt{8} + \sqrt{7} } \\$ Using the IDENTITIES: $(a + b)^{2} = {a}^{2} + {b}^{2} + 2ab \\ (a + b)(a - b) = {a}^{2} - {b}^{2}$ $x = \frac{ {( \sqrt{8} })^{2} + {( \sqrt{7} )}^{2} + 2( \sqrt{8} )( \sqrt{7} ) }{ {( \sqrt{8}) }^{2} - {( \sqrt{7} })^{2} } \\ \\ x = \frac{8 + 7 + 2 \sqrt{56} }{8 - 7} \\ \\ splitting \: 56 \\ \\ x = 15 + 2 \sqrt{2 \times 2 \times 2 \times 7} \\ \\ x = 15 + 2 \times 2 \sqrt{14} \\ \\ x = 15 + 4 \sqrt{14}$ $y = \frac{ \sqrt{8} - \sqrt{7} }{ \sqrt{8} + \sqrt{7} } \\$ On rationalizing the denominator we get: $y = \frac{ \sqrt{8} - \sqrt{7} }{ \sqrt{8} + \sqrt{7} } \times \frac{ \sqrt{8} - \sqrt{7} }{ \sqrt{8} - \sqrt{7} } \\$ Using the identities: ${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ (a + b)(a - b) = {a}^{2} - {b}^{2}$ $y = \frac{ {( \sqrt{8} )}^{2} + {( \sqrt{7} )}^{2} - 2( \sqrt{8})( \sqrt{7} ) }{ {( \sqrt{8} })^{2} - {( \sqrt{7} )}^{2} } \\ \\ y = \frac{8 + 7 - 2 \sqrt{56} }{8 - 7} \\ \\ (splitting \: 56) \\ \\ y = 15 - 2 \sqrt{2 \times 2 \times 2 \times 7} \\ \\ y = 15 - 2 \times 2 \sqrt{14} \\ \\ y = 15 - 4 \sqrt{14}$ ${x}^{2} + {y}^{2} - 3xy$ Putting the values: ${(15 + 4 \sqrt{14} )}^{2} + {(15 - 4 \sqrt{14}) }^{2} - 3(15 + 4 \sqrt{14} )(15 - 4 \sqrt{14} ) \\ \\$ Using same identities: $( {(15)}^{2} + {(4 \sqrt{14}) }^{2} + 2(15)(4 \sqrt{14} )) + ( {(15)}^{2} + {(4 \sqrt{14}) }^{2} - 2(15)(4 \sqrt{14} )) - 3( {(15)}^{2} - {(4 \sqrt{14} )}^{2} ) \\ \\ =( 225 + 224 + 120 \sqrt{14} ) + (225 + 224 - 120 \sqrt{14} ) - 3(225 - 224) \\ \\ = (449 + 120 \sqrt{14} ) + (449 - 120 \sqrt{14} ) - 3(1) \\ \\ = 449 + 120 \sqrt{14} + 449 - 120 \sqrt{14} - 3 \\ \\ ( + 120 \sqrt{14} \: and \: - 120 \sqrt{14} \: got \: cancel) \\ \\ = 898 - 3 \\ \\ = 895$ Hope this helps!! If you have any doubt regarding to my answer, feel free to ASK in the COMMENT section or inbox me if needed. @Mahak24 Thanks... ☺☺

Discussion

13.	Evaluate (-16)×12+(-16)×8
Answer» »» (-16×12)+[(-16)×8] = (-192)+(-134) ... REMOVING Parenthesis = -192-134 ... Subtracting = -326 ... Answer ( Evaluation ) Hope this help you !

Discussion

14.	Y=log(tanx^2) , find d/dx.
Answer» Dy/dx=1/tanx^2 X 2tanx secx^2

Discussion

15.	Question number 10; 11; 13
Answer» 13TH SUM has been not GET

Discussion

16.	2x+3y=12 solve the equation
Answer» 2x+3y=12 subtract both side by 2x 3y= -2x+12 divide both side by 3 y= -2x÷3 + 4 therefore, answer is -2÷3 the reason is the equation is a LINEAR equation and to SLOVE this we have to use y = MX + b,where m is the slope and y is the b-intercept... not sure of this answer...if it is wrong then SORRY

Discussion

17.	Square root of 19.6 by division method
Answer» $\sqrt{19.6 } = 4.4271887242357310$

Discussion

18.	One-third of the herd of cows are grazing in the field, 20 less than half of them are near the river. The remaining 35 are tied with the trees. Find the total number of cows in the herd.
Answer» Hey!!!! As PROMISED I'm here, ____________ let the total number of COWS in the herd be x. Then ATQ, $\frac{1}{3} x + \frac{1}{2}x - 20 + 35 = x$ $= > \frac{1}{3} x + \frac{1}{2} x - x = - 15$ $= > \frac{2x + 3x - 6x}{6} = - 15$ $= > - x = - <klux>90</klux>$ $= > x = 90$ Thus there are 90 cows. ______________ Hope this HELPS •_•

Discussion

19.	1x = 57, 2x = 70,then 3x = ???.What's the answer
Answer» Solution:- 1x = 57............(1) , 2X = 70 ...........(2) ,3x= ? added by both eq(1) ans (2) ______________________________ 3x = 127ans

Discussion

20.	If Asinx = Bsin (x + 2y) , B+A/B-A is equal to
Answer» I HOPE this will HELP U..

Discussion

21.	Find the sum between the greatest 6 digit number and greatest 5 digit number
Answer» The SUM of GREATEST SIX DIGIT and FIVE digit is 1099998

Discussion

22.	the perimeter of a rectangle field is 100m if the length of the field is decreased by 2m and the breadth is increased by 3m the area is increased by 44 sq m. find the length and the breadth of the field
Answer» Length is 30 m and BREADTH is 20 cm long. take a LOOK at PICTURES.

Discussion

23.	A number is as much greater than 21 as less than 71. Find the number???
Answer» 21 + 71 = 92 half of 92 or 92÷2 = 46 So, 46 is the answer and it is as much greater than 21 as less than 71

Discussion

24.	Twice a number when decreased by 7 gives 45. Find the number??? Answer
Answer» LET the NUMBER be x according to question 2x-7=45 2x=45+7 2x=52 x=26ans.

Discussion

25.	Find the cube root of 4 741632 by estimation
Answer» hello dear friend, so, the no. you have got is 4741632. okay first determine total digits in the number, then start the estimation of grouping. nos. 1 to 3 give us cubes of 1-digit. then, nos. 4 gives us cubes of 2-digits similarly, no. from 5 to 9 give us cube of 3-digits. then, nos. from 10 to 21 give us cube of 4-digits. & nos. from 22 to 46 give us cube of 5-digits. & nos. from 47 to 99 give us cube of 6-digits. at last ,nos. from 100 to 215 give us cube of 7-digits. so we can find that according to your question your number is a 7-digit no. this MEANS it is having the cube root as a 3-digit number . the unit's digit is 2, and only the nos. ending with 8 produce cubes ending with 2. thus, the numbers can be either of from: 108, 118, 128, 138, 148, 158, 168, 178, 188, or 198. the number you want is 4741632 , so if we collectively go to the middle nos, and not FOCUS from first to last, we can calculate , the cube of 150 BECOMES 3375000 & that of 160 is 4096000. going on to 170 's cube is 4913000.(nearly close to 4741632) by this u should opt for no. 168 which has nearly close to cube no. of the given and calculating: 168 x 168 x 168 = 4741632 hence , by estimation , the result is 168 (required answer) hope this helps !! thanks & goodluck !!

25.

Find the cube root of 4 741632 by estimation

Answer»

hello dear friend,

so, the no. you have got is 4741632.

okay first determine total digits in the number, then start the estimation of grouping.

nos. 1 to 3 give us cubes of 1-digit.
then, nos. 4 gives us cubes of 2-digits
similarly, no. from 5 to 9 give us cube of 3-digits.
then, nos. from 10 to 21 give us cube of 4-digits.
& nos. from 22 to 46 give us cube of 5-digits.
& nos. from 47 to 99 give us cube of 6-digits.
at last ,nos. from 100 to 215 give us cube of 7-digits.

so we can find that according to your question your number is a 7-digit no.

this MEANS it is having the cube root as a 3-digit number .

the unit's digit is 2, and only the nos. ending with 8 produce cubes ending with 2.

thus, the numbers can be either of from:

108, 118, 128, 138, 148, 158, 168, 178, 188, or 198.

the number you want is 4741632 ,

so if we collectively go to the middle nos, and not FOCUS from first to last, we can calculate , the cube of 150 BECOMES 3375000

& that of 160 is 4096000.

going on to 170 's cube is 4913000.(nearly close to 4741632)

by this u should opt for no. 168 which has nearly close to cube no. of the given

and calculating: 168 x 168 x 168 = 4741632

hence , by estimation , the result is 168 (required answer)

hope this helps !! thanks & goodluck !!

Discussion

26.	Write the value of 3√125×27
Answer» HEY there ‼ ______________________________ 3√125 × 27 = 3 √(5×25) × 27 = 3 × 5 √5 × 27 = 15√5 × 27 = 405√5 OR As we KNOW, √5 = 2.23 Putting √5 's value in 405√5, 405 × 2.23 = 905.60 ______________________________

Discussion

27.	Pls solve the q14 as soon as possible
Answer» HELLO friend --------------- Here is Ur answer See the ATTACHMENT ---------------------- Hope it's HELP U

Discussion

28.	Find the cube root of 0.000001
Answer» 0.000001 = 1/1000000 ³√1/1000000 =1/100 ANSWER

Discussion

29.	What is the most awaited sequel of a film
Answer» BAHUBALI: the CONCLUSION

Discussion

30.	Simplify (3x-5/x)(9x^2+15+25/x^2)
Answer» SOLUTION TO SIMPLIFY $\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$ FORMULA TO BE IMPLEMENTED We are AWARE of the formula that a³ - b³ = (a - B)(a² + AB + b² ) EVALUATION $\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$ $\displaystyle \sf{ = {(3x)}^{3} - { \bigg(\frac{5}{x} \bigg)}^{3} }$ $\displaystyle \sf{ = 27 {x}^{3} - \frac{125}{ {x}^{3} } }$ ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. FIND the value of the expression a² – 2ab + b² for a = 1, b = 1 brainly.in/question/28961155 2. divide : (4x²- 100) ÷ 6(x+5) brainly.in/question/15559404

30.

Simplify (3x-5/x)(9x^2+15+25/x^2)

Answer»

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$

FORMULA TO BE IMPLEMENTED

We are AWARE of the formula that

a³ - b³ = (a - B)(a² + AB + b² )

EVALUATION

$\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$

$\displaystyle \sf{ = {(3x)}^{3} - { \bigg(\frac{5}{x} \bigg)}^{3} }$

$\displaystyle \sf{ = 27 {x}^{3} - \frac{125}{ {x}^{3} } }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. FIND the value of the expression a² – 2ab + b² for a = 1, b = 1

brainly.in/question/28961155

2. divide : (4x²- 100) ÷ 6(x+5)

brainly.in/question/15559404

Discussion

31.	Simplify 3 + 2 root 2 / 3 minus root 2 is equal to X + Y root 2 find X and Y
Answer» The QUESTION is WRONG

Discussion

32.	Evaluate 1.2×1.2+1.2×0.3+0.3×0.3/1.2×1.2×1.2-0.3×0.3×0.3
Answer» PUT a=1.2 b = 0.3 (a^2 + ab+b^2)/ (a^3 - b^3) We KNOW the FORMULA (a^3 -b^3)=(a-b)(a^2 +ab+b^2) Put in the above = 1/(a-b) = 1/0.9 =10/9

Discussion

33.	3+2root2÷3-root 2=x+yroot2 find x and y
Answer» Hey there ‼ ______________________________ ( 3 + 2√2 ) / ( 3 – 2√2 ) = X + y√2 = ( 3 + 2√2 ) / ( 3 – 2√2 ) × ( 3 + 2√2 ) / ( 3 + 2√2 ) = ( 3 + 2√2 )² / [ ( 3 )² – ( 2√2 )² ] = ( 9 + 12√2 + 8 ) / ( 9 – 8 ) = 17 + 12√2 = x + y√2 Thus, x = 17 and y = 12. ______________________________

Discussion

34.	If 1/3 of a number exceeds its 2/7 by 1 ,find the number
Answer» LET the no. Be 'X'. (1/3)x =(2/7)x+1 (1/3-2/7)x=1 (1/21)x=1 x= 21 Hope it HELPS...

Discussion

35.	X1, x2... are in ap if x1+x7+x10=-6 and x3+x8+x12=-11 then x3+x8+x22=?
Answer» $Given \: x_{1}, x_{2}, \cdot \cdot \cdot , are \:in \: A.P$ $Let \: a \: and \: d \: are \: first \: term \: and \\common \:difference \:of \: A.P$ $x_{1} = a , \: and \: d = x_{2} - x_{1}$ $\boxed { \pink { n^{th} \: term (a_{n}) = a+(n-1)d }}$ $i) x_{1} + x_{7} + x_{10} = -6$ $\implies a + (a+6d) + a+9d = -6$ $\implies 3a + 15d = -6\: ---(1)$ $ii) x_{3} + x_{8} + x_{12} = -11$ $\implies (a + 2d) + (a+7d) + (a+11d) = -11$ $\implies 3a + 20d = -11\: ---(2)$ /* SUBTRACT Equation (1) from equation (2) , we get / $\implies 5d = -<klux>5</klux>$ / DIVIDING both sides of equation by 5, we get / $\implies d = -1 \: --(3)$ / Put d = -1 in equation (1) , we get */ $3a + 15\times (-1) = -6$ $\implies 3a = -6 + 15$ $\implies 3a = 9$ $\implies a = \frac{9}{3} = 3\: ---(4)$ $Now, Value \:of \: x_{3} + x_{8} + x_{22} \\= (a+2d) + (a+7d) + (a+21d) \\= 3a + 30d \\= 3\times 3+ 30 \times (-1) \: [ From \:(3) \:and \:(4) ]$ $= 9 - 30 \\= -21$ Therefore., $\red {Value \:of \: x_{3} + x_{8} + x_{22}} \green {= -21 }$ •••♪ •••♪

35.

X1, x2... are in ap if x1+x7+x10=-6 and x3+x8+x12=-11 then x3+x8+x22=?

Answer»

$Given \: x_{1}, x_{2}, \cdot \cdot \cdot , are \:in \: A.P$

$Let \: a \: and \: d \: are \: first \: term \: and \\common \:difference \:of \: A.P$

$x_{1} = a , \: and \: d = x_{2} - x_{1}$

$\boxed { \pink { n^{th} \: term (a_{n}) = a+(n-1)d }}$

$i) x_{1} + x_{7} + x_{10} = -6$

$\implies a + (a+6d) + a+9d = -6$

$\implies 3a + 15d = -6\: ---(1)$

$ii) x_{3} + x_{8} + x_{12} = -11$

$\implies (a + 2d) + (a+7d) + (a+11d) = -11$

$\implies 3a + 20d = -11\: ---(2)$

/* SUBTRACT Equation (1) from equation (2) , we get */

$\implies 5d = -<klux>5</klux>$

/* DIVIDING both sides of equation by 5, we get */

$\implies d = -1 \: --(3)$

/* Put d = -1 in equation (1) , we get */

$3a + 15\times (-1) = -6$

$\implies 3a = -6 + 15$

$\implies 3a = 9$

$\implies a = \frac{9}{3} = 3\: ---(4)$

$Now, Value \:of \: x_{3} + x_{8} + x_{22} \\= (a+2d) + (a+7d) + (a+21d) \\= 3a + 30d \\= 3\times 3+ 30 \times (-1) \: [ From \:(3) \:and \:(4) ]$

$= 9 - 30 \\= -21$

Therefore.,

$\red {Value \:of \: x_{3} + x_{8} + x_{22}} \green {= -21 }$

•••♪

Discussion

36.	Which memeber of the constituent assembly proposed the resolution that the national flag of india be a "horizontal tricolour of saffron, white and dark green in equal proportion",with a wheel in navy blue at the centreOptions areJawaharlal NehruB.R.AmbedkarRajendra PrasadSardar vallabhbhai Patel
Answer» This STATEMENT is SAID by PANDIT JAWAHARLAL nehru. hope it hepls✌

Discussion

37.	Please answer it and best answer will be marked as brainliest
Answer» no it DOESNT LIE because√2=1.414and√3=1.73 and4√6is more than√3

Discussion

38.	Find two rational number of_5. if the one rational number is 7/12 what is the other number?
Answer» We will learn the RECIPROCAL of a rational number. For every non-zero rational number a/b there exists a rational number b/a such that a/b × b/a = 1 = b/a × a/b The rational number b/a is called the multiplicative INVERSE or reciprocal of a/b and is denoted by (a/b)-1. The reciprocal of 12 is 1/12 The reciprocal of 5/16 is 16/5. The reciprocal of 3/4 is 4/3 i.e., (3/4)^-1 = 4/3. The reciprocal of -5/12 is 12/-5 i.e., (-5/12)^-1 = 12/-5. The reciprocal of (-14)/17 is 17/-14 i.e., (-17)/14. The reciprocal of -8 is 1/-8 i.e., (-1)/8. The reciprocal of -5 is 1/-5, SINCE -5 × 1/-5 = -5/1 × 1/-5 = -5 × 1/-5 × 1 = 1.

Discussion

39.	What is interminate form
Answer» HELLO dear...here is your answer The most common example of an INDETERMINATE form occurs as the ratio of two functions, in which both of these functions tend to zero in the limit, and is referred to as "the indeterminate form 0/0". As x approaches 0, the RATIOS x/x3, x/x, and x2/x go to ∞, 1, and 0 RESPECTIVELY.

Discussion

40.	if alpha and beta are the zeros of the polynomial x2-2x-8 then form a quadratic polynomial whose zeros are 3alpha and 3beta
Answer» ANSWER is here HOPE it HELPED you..

Discussion

41.	Plzz solve second and third
Answer» HEY!!! For BEST UNDERSTANDING I'll SOLVE on paper Hope this HELPS

Discussion

42.	Ans this ques with clear and simple steps
Answer» Hey !!! 2^(a + ¹ ) × 5^a = 200 (2^a + 2¹ )5^a =200 2×5^(a+a) + 10^a =200 10^2a + 10^a = 200 10^(2a + a) = 10×20 3a = 20 a = 20/3. =3.33 Answer *************************** Hope it helps you !! @Rajukumar111

Discussion

43.	-b-(3/2) (33+a)=0. Find the values of a and b.
Answer» –b –3/2(33+a) =0.....(i) –b–99/2–3a/2 =0 –99/2 = 3a/2+b –99/2 = 3a+2b/2 –99 = 3a + 2b –99–2b/3 = a ........(ii) put equation (ii) in (i) hence you will get your ANSWER... I fullly give you a BIG HINT ,next work is yours thank you if you like my way .. please mark my ans as BRAINLIEST

Discussion

44.	If 37a+37b=5661 fine the value of a+b
Answer» HOPE this HELPS any DOUBTS PLEASE COMMENT

Discussion

45.	I multiplied a natural no. by 18 and other natural no. by 21 then I added the products which one is the sum of two products is options are 2002 2003 2004 2005
Answer» 4285582525352525525352525

Discussion

46.	an express train makes a run of 240 km at a certain speed. another train whose speed is 12km/hr less takes an hour longer to cover the distance. finde the speed of the express train in km/hr
Answer» So this is the ANS. HOPE it HELPS

Discussion

47.	Write the mirror image on the point ( 2,3 ) and ( -4 , -6) with respect to x axis.
Answer» So it HELPFUL for you

Discussion

48.	Find the values of A and B for which ax cube minus 11 X square + a x + b is exactly divisible by x square - 4 x minus 5
Answer» Hi , It is given that , 11x² + ax + B is exactly divisible by x² - 4X - 5 , x² - 4x - 5 ) 11x² + ax + b ( 11 ************11x² - 44x - 55 ____________________ *****************ax + 44x + b + 55 ax + 44x + b + 55 = 0 ( a + 44 )x + ( b + 55 ) = 0 Therefore , a + 44 = 0 and b + 55 = 0 a = - 44 and b = - 55 I hope this helps you. : )

Discussion

49.	What is the smallest value of y such that -a less than or equal to y -10√a for all non negative a?
Answer» Y is LESS than or EQUAL to 25

Discussion

50.	If the sum of two consecutive odd no. is 2004 then the smaller of the two numbers could be
Answer» Hey!!!! let the TWO odd consecutive numbers be x and x + 2. ATQ => x + x + 2 = 2004 => 2x = 2002 => x = 1001 Thus other NUMBER = 1003. Smaller number = 1001 Hope this helps you

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Differentiate the function y=2x/x+1

An angle measuring180 degree angle is called

Evaluate 25 ×(-33)+25×(-17)

Write the smallest 8 digit number using 5 different digits

If x=k-1 and y=2k-1 is a solution of an equation of 3x+2y+7=0

Least number of 4 digits when increased by 7 is divisible by 35 48 56

Find the reminder on when 3x4-4x3-3x-1

If A+B+C=180, sinA-sinB+sinC=

550 people can complete a work in 100days.After 10 days start of the work 50 more people join.In how many more days now the work will completed

Answer me 21st question pls

Find value of √32+√48divided by √8+√12 with full solution

root 8 + root 7 upon root 8 minus root 7 Y is equal to root 8 minus root 7 upon root 8 + root 7 find the value of x square + y square minus 3xy

Evaluate (-16)×12+(-16)×8

Y=log(tanx^2) , find d/dx.

Question number 10; 11; 13

2x+3y=12 solve the equation

Square root of 19.6 by division method

One-third of the herd of cows are grazing in the field, 20 less than half of them are near the river. The remaining 35 are tied with the trees. Find the total number of cows in the herd.

1x = 57, 2x = 70,then 3x = ???.What's the answer

If Asinx = Bsin (x + 2y) , B+A/B-A is equal to

Find the sum between the greatest 6 digit number and greatest 5 digit number

the perimeter of a rectangle field is 100m if the length of the field is decreased by 2m and the breadth is increased by 3m the area is increased by 44 sq m. find the length and the breadth of the field

A number is as much greater than 21 as less than 71. Find the number???

Twice a number when decreased by 7 gives 45. Find the number??? Answer

Find the cube root of 4 741632 by estimation

Write the value of 3√125×27

Pls solve the q14 as soon as possible

Find the cube root of 0.000001

What is the most awaited sequel of a film

Simplify (3x-5/x)(9x^2+15+25/x^2)

SOLUTION

Simplify 3 + 2 root 2 / 3 minus root 2 is equal to X + Y root 2 find X and Y

Evaluate 1.2×1.2+1.2×0.3+0.3×0.3/1.2×1.2×1.2-0.3×0.3×0.3

3+2root2÷3-root 2=x+yroot2 find x and y

If 1/3 of a number exceeds its 2/7 by 1 ,find the number

X1, x2... are in ap if x1+x7+x10=-6 and x3+x8+x12=-11 then x3+x8+x22=?

Which memeber of the constituent assembly proposed the resolution that the national flag of india be a "horizontal tricolour of saffron, white and dark green in equal proportion",with a wheel in navy blue at the centreOptions areJawaharlal NehruB.R.AmbedkarRajendra PrasadSardar vallabhbhai Patel

Please answer it and best answer will be marked as brainliest

Find two rational number of_5. if the one rational number is 7/12 what is the other number?

What is interminate form

if alpha and beta are the zeros of the polynomial x2-2x-8 then form a quadratic polynomial whose zeros are 3alpha and 3beta

Plzz solve second and third

Ans this ques with clear and simple steps

-b-(3/2) (33+a)=0. Find the values of a and b.

If 37a+37b=5661 fine the value of a+b

I multiplied a natural no. by 18 and other natural no. by 21 then I added the products which one is the sum of two products is options are 2002 2003 2004 2005

an express train makes a run of 240 km at a certain speed. another train whose speed is 12km/hr less takes an hour longer to cover the distance. finde the speed of the express train in km/hr

Write the mirror image on the point ( 2,3 ) and ( -4 , -6) with respect to x axis.

Find the values of A and B for which ax cube minus 11 X square + a x + b is exactly divisible by x square - 4 x minus 5

What is the smallest value of y such that -a less than or equal to y -10√a for all non negative a?

If the sum of two consecutive odd no. is 2004 then the smaller of the two numbers could be