Home
Class 11
MATHS
If x = a cos^3 theta, y = b sin^3 theta,...

If `x = a cos^3 theta, y = b sin^3 theta`, then

A

`((a)/(x))^(2/3)+((b)/(y))^(2/3)=1`

B

`((b)/(x))^(2/3)+((a)/(y))^(2/3)=1`

C

`((x)/(a))^(2/3)+((y)/(b))^(2/3)=1`

D

`((x)/(b))^(2/3)+((y)/(a))^(2/3)=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(2)) =?

Find (d^2 y)/(dx^2) of the following: x = a cos^3 theta , y= b sin^3 theta

Find dy/dx if, x= a cos^(3) theta , y= a sin^(3) theta at theta = pi / 3

if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(3pi)/(4) is

Find the equations of tangent and normal to the following curves at the individual points on them: x= a cos^3 theta, y=a sin^3 theta at theta = (pi)/4

Eliminate theta,if x=a cos^3 theta y=b sin^3 theta

If x= a cos theta , y= b sin theta , show that ( d^2 y)/(d x^2 ) = - b^4 /a^2y^3

If x = a cos theta and y = b sin theta , find (dy)/(dx)