Question

Tangents are drawn from the origin to the curve \(y=\cos x\). Their points of contact lie on

• A. \(x^2y^2=y^2-x^2\)
• B. \(x^2y^2=x^2+y^2\)
• C. \(x^2y^2=x^2-y^2\)
• D. None of these

Hint:

Check parametric condition for tangency from origin.

Answer 1

The Correct Option is D

Step 1: Tangent condition from origin: \[ y=mx,\quad m=\sin x \]
Step 2: Eliminating parameter does not yield any of the given relations.