Question

A variable circle passes through the fixed point A(p,q) and touches X-axis. The locus of the other end of the diameter through A is

(a) (x - p)² = 4qy

(b) (x - q)² = 4py

(c) (y - p)² = 4qx

(d) (y - q)² = 4px

Answer 1

Correct Option (a) (x - p)² = 4qy

Explanation:

Since, the coordinates of one end of a diameter of a circle A are (p, q)and let the coordinates of other end B be (x₁, y₁)

Equation of circle in diameter form is