Question

If the tangent to the ellipse x² + 4y² = 16 at the point P(θ) is a normal to the circle x² + y² – 8x – 4y = 0 then θ equals

(a) π/2

(b) π/4

(c) 0

(d) -π/4

Answer 1

Correct options are (a) & (c).

\(\therefore\) The equation (1) passes through the centre (4,2) of the circle