If xsintheta=ycostheta=(2ztantheta)/(1-t...

If `xsintheta=ycostheta=(2ztantheta)/(1-tan^2theta),` then `4z^2(x^2+y^2)=`

A

`(x^(2) + y^(2))^(3)`

B

`(x^(2)- y^(2))^(3)`

C

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

D

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

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If x sin theta = y cos theta = (2z tan theta) / (1-tan ^ (2) theta), then 4z ^ (2) (x ^ (2) + y ^ (2)) =

If x sin theta = y cos theta = ( 2 z tan theta)/(1 - tan ^(2) theta) , then what is 4z ^(2) (x ^(2) + y ^(2)) equal to ?

tan4 theta=4tan theta(1-tan^(2)theta)/(1-6tan^(2)theta+tan^(4)theta)

If 2ycostheta=x sintheta and 2xsectheta-ycosectheta=3 , then x^(2)+4y^(2)=?

If xsintheta+ycostheta=sintheta.costheta and xsintheta-ycostheta=0 find x^(2)+y^(2)

If tan theta+tan2 theta+tan theta.tan2 theta=1 then theta=...(n in z)

The expression (tan4 theta+tan2 theta)(1-tan^(2)(3 theta)tan^(2)theta) is identical to

Prove that: tan4 theta=(4tan theta(1-tan^(2)theta))/(1-tan^(2)theta+tan^(4)theta)