Home
Class 14
MATHS
If x = a cos theta + b sin theta and y=a...

If `x = a cos theta + b sin theta` and `y=a sin theta-b cos theta`, the value of `x^2+y^2` is:

A

`2 ab`

B

`a + b `

C

`a ^(2) +b ^(2)`

D

`a ^(2) - b ^(2)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If x=a cos theta - b sin theta , and y=a sin theta+b cos theta , what is the value of (x^2+y^2)/(a^2+b^2) ?

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.

If x=a cos theta+b sin theta and y=a sin theta-b cos theta, then prove that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

If x=a cos theta-b sin theta and y=a sin theta+b cos theta then prove that :x^(2)+y^(2)=a^(2)+b^(2)

If x=a(sin theta+cos theta) and y=b(sin theta-cos theta) , then the value of x^2/a^2+y^2/b^2 is - यदि x=a(sin theta+cos theta) और y=b(sin theta-cos theta) , तो x^2/a^2+y^2/b^2 का मान क्या होगा ?

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin theta = y cos theta , then the value of x^(2) + y^(2) is :