Question

A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

• A. $x^2 + y^2 = k^2$
• B. $(1+k)x^2 + y^2 = k^2$
• C. $x^2 + (1+k^2)y^2 = k^2$
• D. $x^2 + 2y^2 = 2k^2$

Hint:

A curve where the distance from a point to a fixed axis along the normal is constant is a circle.

Answer 1

The Correct Option is A