Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

mean is 18. C.I 11-13,13-15,15-17,17-19,19-21,21-23,23-25 and F.I is 7,6,9,13,f,5,4 find the value of 'f​' by step - deviation method ​

Answer»

Answer:

Lets TAKE assumed MEAN, A as 16

Class INTERVAL =2

∴u

i

=

h

x

i

−A

=

2

x

i

−16

Now, we have A=16,

x

ˉ

=18 and h=2

We know that,

Mean,

x

ˉ

=A+h(

N

1

∑f

i

u

i

)

⇒18=16+2(

f+44

2f+24

)

⇒

f+44

2f+24

=1

⇒f+44=2f+24

⇒f=20

Hence, the value of missing frequency, f=20

Step-by-step explanation:

MARK ME AS BRAINLIEST IF IT IS CORRECT.. PURPLE u sorry i tried yo copy paste but this happened...*inner screaming*༼;´༎ຶ ۝ ༎ຶ༽

2.

The lateral surface area of a cube is 256cm^3. Find its volume and surface area.

Answer»

Answer:

256=4a²

a²=64

a=8cm

Volume=512cm³

Surface AREA =6a²=384cm²

3.

(sec A + tan A) (1 - sin A)choose the correct option ​

Answer»

ANSWER:

(SEC A + TAN A) (1 - SIN A)= cos A

Hope it helps<3

4.

Integrate it???.....​

Answer»

ANSWER:

sec^2

Step-by-step EXPLANATION:

this GENERAL IDENTITY of trignometric

5.

Find the equation of a straight line which passes through the point (1, - 3) and makes an intercept on y-axis twice as long as on x-axis.​

Answer»

Answer:

INTERCEPT FORM of equation of line is given by:

a

x

+

b

y

=1, where a is x-intercept and b is y-intercept

Now, we are given that b=2a

⇒ equation of line is given by 2x+y=2a

Distance of this line from origin is 1 units.

Applying the formulae for distance of a POINT from a line, and EQUATING it to 1, we get

∣

2

2

+1

2

−2a

∣=1

⇒ 2a=+

5

and −

5

6.

There are two sizes of fish that he wants to create. Accorhas, he has decided to have the area of each big fish as 35Question 11: What should the side of each square be?a 18.66 cmb) 8 cmc) 64 cmd) 32 cm*School of fish = a group of fish​

Answer»

If two chords of a circle interest within the circle, PROVE that the segments of one CHORD are equal to correspond

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. ... For EXAMPLE, the decimal representation of π starts with 3.14159, but no finite number of DIGITS can represent π exactly, nor does it REPEAT.

7.

A bullet fired at an angle of 30° with the horizontal hits the ground 4.0 km away. Byadjusting its angle of projection, can one hope to hit a target 5.0 km away ? Assumethe muzzle speed to be fixed, and neglect air resistance.​

Answer»

Answer :

Bullet can not hit a TARGET 5 km away.

Step-by-step explanation :

we know,

       \boxed{\bf Range=\frac{u^2sin2\theta}{g} }

LET the speed of the bullet be "u"

  • A bullet fired at an angle of 30° with the HORIZONTAL hits the ground 4.0 km away.

                Range (R) = 4 km

            angle of projection (θ) = 30°

By SUBSTITUTING it's values in the above formula,

                  4=\frac{u^2sin2(30^{\circ})}{g} \\\\ 4\frac{u^2sin60^{\circ}}{g} \\\\ \frac{u^2(\frac{\sqrt{3}}{2})}{g} =4 \\\\ \frac{u^2}{g} =\frac{8}{\sqrt{3}} \\\\ \frac{u^2}{g} =\frac{8}{\sqrt{3}} \times \frac{\sqrt{3} }{\sqrt{3} } \\\\ \frac{u^2}{g} =\frac{8\sqrt{3}}{3}

  • Range is maximum at θ = 45°

           R_{max}=\frac{u^2sin2(45^{\circ})}{g} \\\\ R_{max} =\frac{u^2sin90^{\circ}}{g} \\\\ R_{max}=\frac{u^2}{g}

substitute the value of u²/g here,

          Rₘₐₓ    =  \frac{8\sqrt{3}}{3}

                     \simeq\frac{13.856}{3} \\\\ \simeq\text{4.618 km}

Hence, bullet can not hit the target 5 km away.

SINCE, the maximum range with the same speed is 4.618 km which is less than 5 km

_______________________

8.

A park, in the shape of a quadrilateral ABCD, has angle C = 90° l, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?[NCERT MATHS CLASS 9TH CH 12 - HERON's FORMULA EX 12.2 Q2]Best Answer will instantly mark as brainliest❤❤❤​

Answer»

<P>

Given :

∠C = 90°

AB = 9 m

BC = 12 m

CD = 5 m

AD = 8 m

To FIND :

Area of the park .

Solution :

In Δ BCD :

Base = 5 m

Height = 12 m

Hypotenuse = ?

By Pythagorus THEOREM :

\longmapsto\tt{{(H)}^{2}={(B)}^{2}+{(P)}^{2}}⟼(H)

2

=(B)

2

+(P)

2

\longmapsto\tt{{(H)}^{2}={(5)}^{2}+{(12)}^{2}}⟼(H)

2

=(5)

2

+(12)

2

\longmapsto\tt{{(H)}^{2}=25+144}⟼(H)

2

=25+144

\longmapsto\tt{{(H)}^{2}=169}⟼(H)

2

=169

\longmapsto\tt{H=\sqrt{169}}⟼H=

169

\longmapsto\tt\bf{H=13\:m}⟼H=13m

Now ,

a = 5 m

b = 12 m

c = 13 m

\longmapsto\tt{s=\dfrac{a+b+c}{2}}⟼s=

2

a+b+c

\longmapsto\tt{s=\dfrac{5+12+13}{2}}⟼s=

2

5+12+13

\longmapsto\tt{s=\cancel\dfrac{30}{2}}⟼s=

2

30

\longmapsto\tt\bf{s=15\:m}⟼s=15m

\longmapsto\tt{Area=\sqrt{s(s-a)(s-b)(s-c)}}⟼Area=

s(s−a)(s−b)(s−c)

\longmapsto\tt{\sqrt{15(15-5)\:(15-12)\:(15-13)}}⟼

15(15−5)(15−12)(15−13)

\longmapsto\tt{\sqrt{15\:(10)\:(2)\:(2)}}⟼

15(10)(2)(2)

\longmapsto\tt{5\times{3}\times{2}}⟼5×3×2

\longmapsto\tt\bf{30\:{m}^{2}}⟼30m

2

Area of Δ BCD is 30 m² .

Similarly ,

In Δ ABD :

a = 9 m

b = 8 m

c = 13 m

\longmapsto\tt{s=\dfrac{a+b+c}{2}}⟼s=

2

a+b+c

\longmapsto\tt{s=\dfrac{9+8+13}{2}}⟼s=

2

9+8+13

\longmapsto\tt{s=\cancel\dfrac{30}{2}}⟼s=

2

30

\longmapsto\tt\bf{s=15\:m}⟼s=15m

\longmapsto\tt{Area=\sqrt{s(s-a)(s-b)(s-c)}}⟼Area=

s(s−a)(s−b)(s−c)

\longmapsto\tt{\sqrt{15(15-8)\:(15-9)\:(15-13)}}⟼

15(15−8)(15−9)(15−13)

\longmapsto\tt{\sqrt{15\:(7)\:(6)\:(2)}}⟼

15(7)(6)(2)

\longmapsto\tt{3\times{2}\sqrt{5\times{7}}}⟼3×2

5×7

\longmapsto\tt\bf{6\sqrt{35}\:{m}^{2}}⟼6

35

m

2

Area of Δ ABD is 30 m² .

Total Area of Park :

\longmapsto\tt{Area\:of\:\triangle\:BCD+Area\:of\:\triangle\:ABD}⟼Areaof△BCD+Areaof△ABD

\longmapsto\tt{30+6\sqrt{35}}⟼30+6

35

\longmapsto\tt\bf{65.4\:{m}^{2}}⟼65.4m

2

So , The Area Occupied by the park is 65.4 m² ..

9.

The length of a room is 50% more than its breadth. The cost of carpeting the room at the rate of ₹38.50 m² is ₹924 and the cost of papering the walls at ₹3.30 m² is ₹214.50 . If the room has one door of dimensions 1 m × 2 m and two windows each of dimensions 1 m × 1.5 m, find the dimensions of the room. ​

Answer»

Answer:

Length of the room = 6 meters

Breadth of the room = 4 meters

Height of the room = 3.5 meters

Given:

The length of a room is 50% more than its breadth

The cost of CARPETING the room at the rate of ₹ 38.50

The cost of papering the walls at ₹ 3.30 m² is ₹ 214.50

One dimension of the room = 1 m × 2 m

Second dimension of the room = 1 m × 1.5 m

To Find:

The dimensions of the room =?

10.

Write the following into algebraic expressionThe total cost of m stamps of 50p and n stamps of 25p

Answer»

ANSWER:

m STAMPS of 50p = m X 50 p = 50pm

n stamps of 25P = n x 25 p = 25pn

Algebraic EXPRESSION = 50pm + 25 pn

11.

at what rate of interest will rs 2400amount to rs 2778. 30 in 3yrs if interest being compounded annually?​

Answer»

Answer:

5%

Step-by-step EXPLANATION:

A=p(1+r)^n

2778.3 = 2400(1+r)^3

2778.3/2400 = (1+r)^3

1+r=1.05

r=0.05×100=5%

12.

D/dx [tan²2x] - evaluate this​

Answer»

Answer:

2x TAN x^4

Step-by-step EXPLANATION:

...............................

13.

4.13. In the figure given below ZA = 90°, AD isperpendicular to BC. Find x.​

Answer»

Step-by-step EXPLANATION:

  • by theorem of perpendicular drawn from right ANGLE then both the triangles similar to each other
  • so, AC/BC=DC/AC
  • 12√3/6+x=x/12√3
  • by SOLVING we GET quadratic equation
  • {x }^{2}  + 6x - 432 = 0 \\ {x}^{2}  + 24x - 18x - 432 = 0 \\ x(x + 24) - 18(x + 24) = 0 \\ (x + 24)(x - 18) = 0 \\  \\ x = 18  \: or \: x =  - 24
  • length cannot be negative so ANSWER is 18.

14.

Usman's father is twice as old as he is twenty years ago Usman'n was seven time as old as his son.find their ages.​

Answer»

ANSWER:-

x=father's age now

y=son's age now

x= 2(x-21)

x= 2x-42

x-2x= -42

-x= -42

x= 42

x= 7y

y= x/7

y= 42/7

y= 6

Therefore, the father's present age is 42 and the son's present age is 6

@BengaliBeauty

Feel free to ASK your doubts anytime

15.

2. Without actually performing division, state whether the following rational numbers willhave a terminating decimal form or a non-terminating, repeating decimal form.​

Answer»

ANSWER:

where's the RATIONAL no.

Step-by-step explanation:

B.T.W without actual division you can TELL whether it have a terminat......... decimal form on the basis of the above INSTRUCTION GIVEN .

16.

Me Find the value of :-3-2 ​

Answer»

Answer:

3-2

=1

how SIMPLE! don't ASK this SILLY QUESTION again

17.

Some students planned a one day trip. The budget for tiffin was ₹360. Since four students did not join, the cost of tiffin per student gone up by ₹1. Find the original number of students.​

Answer»

Step-by-step EXPLANATION:

here is ur ANS pls follow me and HOPE it's HELPFUL

18.

Show that the axes of co ordinator trisect the staright line joining the point (2,-2) and (-1,4)​

Answer»

ANSWER:

..........................................

19.

The volume of a solid 2 pointscylinder is 448Tt cms andit's height is 7cm find itslateral surface area (chठोस बेलन का आयतन 448T1cm है व ऊँचाई 7cm है तोउसका वक्र पृष्ठीय क्षेत्रफल ज्ञात​

Answer»

For a SOLID cylinder -

Given :-

\sf{Volume \: (V) = 448\pi \: cm^{3}}

\sf{height \: (h) = 7 \: cm}

To FIND :-

\sf{Lateral \: Surface \: Area \: of \: this \: solid \: cylinder = ?}

Using FORMULAS :-

\sf{Volume \: of \: Solid \: Cylinder = \pi r^{2} h}

\sf{Lateral \: Surface \: Area = 2\pi r h}

Solution :-

\sf{Volume \: of \: Solid \: Cylinder = 448\pi}

\sf{\pi r^{2} h = 448\pi}

\sf{r^{2} h = 448}

\sf{r^{2}(7) = 448}

\sf{7r^{2} = 448}

\sf{r^{2} = 64}

\sf{r=\sqrt{64}}

\sf{r = 8 \: cm}

Now ,

\sf{Lateral \: Surface \: Area \: of \: Solid \: Cylinder -}

\sf{2\pi r h}

\sf{2\times \frac{22}{7}\times 8\times 7}

\sf{2\times 22\times 8}

\sf{2\times 176}

\sf{352 \: cm^{2}}

RESULT :-

\sf{Lateral \: Surface \: Area \: of \: this \: Solid \: Cylinder \: is \: 352 \: cm^{2}.}

20.

If AuBuC =S (the sample space) and A,B and C are mutually exclusive events, can the following represent probability assignment? i. P(A) = 0.2, P(B)= 0.7, P(C) =0.1​

Answer»

ANSWER:

ভ্রান্ত আকিদার কুফল

Step-by-step EXPLANATION:

ভ্রান্ত আকিদার কুফল

21.

So, f(x) isQ. 20 Examine the differentiability of f, where f is defined byx[x]if O S x

Answer»

Step-by-step explanation:

f(1

−

)=

h→0

lim

(1−h)0=0

f(1

+

)=

h→0

lim

1+h=1

Since f is not CONTINUOUS at x=1, its also not differentiable at that point.

f(2

−

)=

h→0

lim

(2−h)(1)=2

f(2

+

)=

h→0

lim

(2+h−1)2=2

f

′

(2

−

)=

h→0

lim

−h

2−h−2

=1

f(2

+

)=

h→0

lim

h

2+2h−2

=2

Hence, the function is continuous but not differentiable at x=2.

22.

{11/14 + 3(3/4 + 1/4)}​

Answer»

Answer:

67/14(i am not SURE)..PLEASE CHECK other ANSWWR

23.

30 - 1.5 answer with explain​

Answer»

Answer:

28.5 woejehhdjelldlngebsle

Step-by-step explanation:

30.0

01.5

28.5

hdiekeiejekek

24.

Free pointsss....................​

Answer»

ANSWER:

freeeeeeeree pointssssssss.

25.

What is 2x+6y+7x?Please to show the working

Answer»

Answer:

15xy FOLLW me you all

26.

Find The Ratio In Which the point P(2,1) divide the line joining the points A(2,7) and B(2,-3).​

Answer»

\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}

GiveN:

  • The points are A(2,7) and B(2,-3).
  • The point which divides them is P(2,1)

To Find:

  • The ratio in which P divides AB?

Step-by-step Explanation:

Let the ratio be k:1

Hence, m1 = k and M2 = 1

Also, if we see the points:

  • x1 = 2 and y1 = 7
  • x2 = 2 and y2 = -3
  • x = 2 and y = 1

Using Section formula,

\cdot{ \boxed{ \rm{x =  \frac{m1x2 + m2x1}{m1 + m2} \:}} \boxed{ \rm{ \: y =  \frac{m1y2 + m2y1}{m1 + m2} }}}

Putting the given values,

\rm{1 =  \dfrac{k( - 3) + 1(7)}{k + 1} }

Cross MULTIPLYING,

⇒ k + 1 = -3k + 7

⇒ k + 3k = 6

⇒ 4k = 6

⇒ k = 3/2

The ratio is k : 1

⇒ 3/2 : 1

⇒ 3 : 2

Hence, the ratio is 3 : 2 (Ans)

27.

divide rupees 5000 in two parts that si 11 part at 5% per annum for 3 years is double that of the other part at 6% per annum for 2 years​

Answer»

MARK me as BRAINLIEST PLEASE

28.

What is the value of a²+b² if a+b=9 and ab=20​

Answer»

Answer:

hope it will help you ....... PLZZ MARK me as BRAINLIEST

29.

Q.3Do as directed.1. Ravina has to cover a distance of 2 - km to reach her school. Then how much (2)distance does she covers while going to school and come back home?2. What time will be after 2 hour on the given clock​

Answer»

Step-by-step explanation:

Q1 answer is 4KM

q2- it has to be a FIGURE GIVEN can't solve without that

30.

The circumference of a circle is 12 m greater than the perimeter of a square if the ratio of the diameter of the circle is to the length of the square is 4 :3, find the area of the square?explain step by step.please don't spamit's very important.answer as soon as possible​

Answer»

Answer:

Let the radius of the CIRCLE ber.

∴ Area of Circle= πr

2

.

and the circumference=2πr

The perimeter of the square is equal to circumference of circle.

∴ Its one side =

4

1

×2πr=

2

πr

.

So Area of Square =(

2

πr

)

2

.

∴

AreaOfSquare

AreaOfcircle

=πr

2

:(

2

πr

)

2

=

π

4

=

22

4×7

=

11

14

>1.

So, Area of Circle > Area of Square

Step-by-step explanation:

HOPE it will help you

31.

If A is a square matrix of order 3 having a row of zeros then the determinant of A is

Answer»

ANSWER:

CORRECT answer is ZERO (0).

32.

An aeroplane takes 3 hours to cover a distance of 3,600 km. Another aeroplane travels at a speed which is 100 km per hour less than the first aeroplane. How long will the second aeroplane take to cover the same distance?​

Answer»

Answer :

3.27 hours

Step-by-step explanation :

we know,

       \boxed{\bf Speed=\frac{distance  \ <klux>COVERED</klux>}{time \ taken}}

  • An aeroplane takes 3 hours to cover a distance of 3,600 km

    Distance covered = 3600 km

              Time taken = 3 hours

 => Speed of first aeroplane = 3600 km/3 H

                                               = 1200 km/h

  • Another aeroplane travels at a speed which is 100 km per hour less than the first aeroplane.

  => Speed of second aeroplane = (1200 - 100) km/h

                                                       = 1100 km/h

we have to find the time taken to cover the same distance by the second aeroplane.

           Distance covered = 3600 km

               1100 km/h = 3600 km/time taken

     

               time taken = 3600/1100

              time taken = 36/11

              time taken = 3.27 hours (approximately)

∴ The time taken by the second aeroplane TAKE to cover the same distance = 3.27 hours

33.

Draw a circle with center O and radius 3 cm . Take a point P on the circle . Draw a tangent to the circle passing through the point P​

Answer»

Answer:

oh I have practised and my teacher gave this in EXAM again and again...

Step-by-step EXPLANATION:

Ok and I have learn it but I can't draw a CIRCLE in the screen ok so I will keep it in brainly. in...

34.

A mobile phone was sold for 4800. Find the cost price of the mobile phone if the profit is 20%

Answer»

HOPE It will HELP you.

If it is HELPFUL then FOLLOW me if you WANT.

35.

If tan35°+cot37°+tan325°= xtan53°+tan127° then x isa)1b)+1c)2d)5pls say detailedly. If say the step by step answer. I will make you a brainlist​

Answer»

Step-by-step explanation:

1 afgnkdaegkmbvcdssgh

36.

Find the largest possible decimal number between 0.1 and 0.2 whose sum of the digits is 20.

Answer»

Step-by-step EXPLANATION:

ahhhhhhh ahhhhhhh ahhhhhhh ahhhhhhh ahhhhhhh are the most BEAUTIFUL WORD in hi I am Mythpat are you going to be a GOOD time in the FUTURE and I am Ankita Chouhan

37.

Find the perpendicular distance from the point (2, 3) to the line 3x-4y=0​

Answer»

ANSWER:

perpendicaul DISTANCE is 2 UNITS

38.

If property of addition is verified when (a+b)=(b+a)​

Answer»

ANSWER:

(a+b)=(b+a)

this PROPERTY is commutavity property

39.

Find x and y in the fallowing :1. ( x-a/3x)+(2x + y)2. [ 2x / x ]-[4y+ 9x ]3. (4y+8x) +( 5x -10y)​

Answer»

Step-by-step EXPLANATION:

I HOPE it's HELP you!

.BB

40.

PAGE NO.:DATE:is equal to-12& les x totSin nit sinX122T/2bu3T1/4​

Answer»

ANSWER:

প্রশ্ন বোঝা যাচ্ছে না। পুনরায় প্রশ্ন দিন।

41.

Is -6/-12 equivalent to-1/2

Answer»

ANSWER:

DIVIDE 6/12 then you GET the answer is 1/2

42.

if a b is equal to 1 then 1 divided by 1 + a raised to minus 1 + 1 divided by 1 + b raise to minus 1 is equal to​

Answer»

the above is the answer.

I HOPE it HELPS

43.

7+{1/3+2/12(7/4-5/12)} solve this​

Answer»

Answer:

23/3

Step-by-step EXPLANATION:

STEPS in the above PHOTO....

44.

Heyy guys plz answer my questionsubject-Maths Q. Round of nearest 1003794579it's very easy ​

Answer»

Step-by-step explanation:

If it is easy then do it on your own

When rounding to the NEAREST hundred, look at the TENS DIGIT of the number.

If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred.

If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred.

45.

If a=1 , tn=149 , find n​

Answer»

ANSWER:

the VALUE of N is (148+d)/d

46.

Ankita and Nagma are friends. They were both born in 1998. What is the probability that they have[ 1 ] same birthday ? [ 2 ] different birthdays ?​

Answer»

Answer:

1)1/365

2)364/365

Step-by-step explanation:

Here 1998 is not a leap YEAR

1)only one DAY in the year .

2)except one day in that year.

47.

In what time will rs 2500 amount to rs2809 at 12% p. a compounded semi anually? ​

Answer»

ANSWER:

principal(p)  = \: rs \: 2500 \\ amount(a) =  \: rs \: 2809  \\ rate(r) = 12\% \: per \: annum \\ convert \: rate \: in \: semi \: annually \\ rate =  \frac{12}{2} \% = 6\% \: per \: semi \: annually \\ let \: the \: time \: in \: annually \: be \: t \\ then \\ convert \: time \: in \: semi \: annually \\ time = 2t

a = p \times (1 +  \frac{r}{100} ) {}^{2t}  \\ 2809 = 2500 \times (1 +  \frac{6}{100} ) {}^{2t }  \\ (1 +  \frac{3}{50} ) {}^{2t}  =  \frac{2809}{2500}  \\ ( \frac{50 + 3}{50} ) {}^{2t}  = ( \frac{53}{50} ) {}^{2}  \\  (\frac{53}{50})  {}^{2t}  =  (\frac{53}{50} ) {}^{2}  \\ base \: are \: same \: so \\ 2t = 2 \\ t = 1 \: year = 2 \: semi \: year

48.

Find the value of 649x8 +649x2

Answer»

Answer:

HLO MATE here is your answer

Step-by-step explanation:

hi

the answer is 6490

649×8

=5192

649×2

=1298

adding both the MULTIPLICATION we GET.....

5192+1298

=6490

49.

What is the radius of curvature of the curve x4+y4=2 at (1,1)

Answer»

SOLUTION

TO DETERMINE

The radius of curvature of the CURVE

\sf{ {x}^{4}  +  {y}^{4} = 2 }

at (1,1)

EVALUATION

Here the given EQUATION of the curve is

\sf{ {x}^{4}  +  {y}^{4} = 2 }

Differentiating both sides with respect to x we get

\sf{4 {x}^{3} + 4 {y}^{3}  \: y_1 = 0 }

\sf{ \implies \:  {x}^{3} +  {y}^{3}  \: y_1 = 0 } \:  \:  \:  \:  \:  \:  -  - (1)

Putting x = 1 & y = 1 we get

\sf{ \implies \:  {(1)}^{3} +  {(1)}^{3}  \: y_1 = 0 }

\sf{ \implies \:  \: y_1 =  - 1 }

Again Differentiating equation (1) with respect to x we get

\sf{ \implies \:  3{x}^{2} +  {y}^{3}  \: y_2 +3 {y}^{2}  \: {y_1}^{2} = 0 } \:

\sf{Putting \:  \:  x = 1 \: , \:  y = 1, y_1 = - 1  \: we  \:  \: get }

\sf{ \implies \:  3 +   \: y_2   +  3  = 0 } \:

\sf{ \implies \:    \: y_2    =  - 6 } \:

Hence the the required radius of curvature at any point (x, y) is

\displaystyle \sf{ R = \frac{{(1 + {y_1}^{2})}^{ \frac{3}{2} } }{y_2} }

\displaystyle \sf{  = \frac{{(1 + {y_1}^{2})}^{ \frac{3}{2} } }{y_2} }

\displaystyle \sf{  = \frac{{(1 + 1)}^{ \frac{3}{2} } }{ - 6} }

\displaystyle \sf{  = \frac{{(2)}^{ \frac{3}{2} } }{ - 6} }

\displaystyle \sf{  =  - \frac{2 \sqrt{2}  }{6} }

\displaystyle \sf{  =  - \frac{ \sqrt{2}  }{3} }

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. FIND the radius of curvature for the curve xy3=a4 at (a,a)

brainly.in/question/22270223

2. radius of curvature of the curve x^2/3 + y^2/3 = a^2/3

brainly.in/question/13357557

50.

The average of 26 numbers is 22.If each number is increased by 8.What will be the new average.

Answer»

Answer:

126 will be the NEW AVERAGE.