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If the tangent to the curve `y = sin x,` at the point (a, b) on it, passes through the origin, then (i) `a^2(1+b^2)=b^2` (ii) `a^2(1-b^2)=b^2` (iii) `b^2(1+a^2)=a^2` (iv) `a^2+b^2=1`

A

`a^(2)(1+b^(2))=b^(2)`

B

`a^(2)(1-b)=b^(2)`

C

`b^(2)(1+a^(2))=a^(2)`

D

`a^(2)+b^(2)=1`

Text Solution

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The correct Answer is:
C
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