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Question

If x=5cosθ and y=5sinθ, then x2+y2=
  1. 5
  2. 1
  3. 25
  4. 125

A
25
B
125
C
5
D
1
Solution
Verified by Toppr

The correct option is C 25
We know that cos2θ+sin2θ=1
x2+y2=(5cosθ)2(5sin2θ)2
x2+y2=25cos2θ+25sin2θ
x2+y2=25(cos2θ+sin2θ)
x2+y2=25(1)
x2+y2=25

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