Question

If two of the three feet of normals drawn from a point to the parabola y² = 4x be (1, 2) and (1, -2), then the third foot is

• A. (2, 2$\sqrt{2)}$
• B. $\left( 2, - 2\sqrt{2} \right)$
• C. (0, 0)
• D. (1, 0)

Answer 1

Answer: (B)

$\left( 2, - 2\sqrt{2} \right)$

Answer 2

Centre of the circle = (0, 0) = 0.

L = one end of the latusrectum = (a, 2a) = (2, 4)

∴ radius of the circle = OL = $\sqrt{20}$

∴ Equation of circle is x² + y² = 20.