The equation of normal to the curve x^(2...

The equation of normal to the curve `x^(2//3)+y^(2//3)=a^(2//3)` at `(asin^(3) theta, a cos^(3) theta)` is

A

`xsintheta-ycostheta=asin^4theta-acos^4theta`

B

`xsintheta+ycostheta=asin^4theta+acos^4theta`

C

`xsintheta-ycostheta=asin^4theta+acos^4theta`

D

`xsintheta+ycostheta=asin^4theta-acos^4theta`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
APPICATIONS OF DEFINITE INTEGRAL
TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
BINOMIAL DISTRIBUTION
TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The equation of normal to the curve x= a cos^(3) theta, y=a sin^(3) theta" at "theta=(pi)/(4) is

Prove that the equation of the normal to x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) is y cos theta-x sin theta=a cos2 theta where theta is the angle which the normal makes with the axis of x.

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

The equation of normal to the curve x=asin^(3)theta and y=acos^(3)theta at theta=(pi)/(4) is :

Find the equations of the tangent and normal to the curve x=a sin^(3)theta and y=a cos^(3)theta at theta=(pi)/(4)

The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ s in^3theta at the point theta=pi//4 is x=0 (b) y=0 (c) x=y (d) x+y=a

The equation of the tangent to the curve x=2cos^(3) theta and y=3sin^(3) theta at the point, theta =pi//4 is

The equation of tangent to the curve x=a cos^(3) theta, y= a sin^(3) theta" at "theta=(pi)/(4) is

Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2cos theta,sin theta). Hence,find the equation of normal to this ellipse which is parallel to the line 8x+3y=0.

Find the slope of the normal to the curve x=1-a sin^(3) theta, y=a cos^(2)theta" at "theta=(pi)/(2) .

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING

Equations to the tangent and normal to curve y=x^3+2x^2-4x-43 at the p...
Text Solution
|
If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 th...
Text Solution
|
The equation of normal to the curve x^(2//3)+y^(2//3)=a^(2//3) at (asi...
Text Solution
|
The equation of the tangent to the curve y=x+4/(x^(2)),l thant is para...
Text Solution
|
Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...
Text Solution
|
The equation of the tangent to the curve y=b e^(-x//a) at the point wh...
Text Solution
|
The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at
Text Solution
|
The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point
Text Solution
|
The equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x) at ...
Text Solution
|
find the equation of tangent line to the curve y = 2x^2 + 7 which is p...
Text Solution
|
If line T1 touches the curve 8y=(x-2)^2 at (-6,8) and line T2 touches ...
Text Solution
|
If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...
Text Solution
|
The line lx+my+n=0 is a tangent to the curve y=x-x^2+x^3 , then
Text Solution
|
Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...
Text Solution
|
The area of the traingle formed by the coordinate axes and a tangent t...
Text Solution
|
The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...
Text Solution
|
The acute angle between the curve y^2=x and x^2=y at (1,1) is
Text Solution
|
If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " th...
Text Solution
|
The distance in seconds, described by a particle in t seconds is given...
Text Solution
|
A particle is moving in a striaght line according as S=15t+6t^2-t^3, t...
Text Solution
|