The transformed equation of r^(2)cos^(2)...

The transformed equation of `r^(2)cos^(2)theta = a^(2)cos 2theta` to cartesian form is`(x^(2)+y^(2))x^(2)=a^(2)lambda`, then value of `lambda` is

A

`y^(2)-x^(2)`

B

`x^(2)-y^(2)`

C

xy

D

`x^(2)y^(2)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Transform the equation r = 2 a cos theta to cartesian form.

Transform the equation x^(2)+y^(2)=ax into polar form.

The solution set of cos2theta=cos^(2)theta-sin^(2)theta is …………

Transform to Cartesian coordinates the equations: r^2=a^2cos2theta

Prove that if the axes be turned through (pi)/(4) the equation x^(2)-y^(2)=a^(2) is transformed to the form xy = lambda . Find the value of lambda .

Find (dy)/(dx) : x= cos^(2) theta and y= sin^(2) theta

sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has value 1.