If the parabola y2 = 4x and x2 = 32y intersect at (16, 8) at an angle θ, then θ is equal to :
(a) tan−1 (3/5)
(b) tan−1 (4/5)
(c) π
(d) π/2
Correct option (a) tan−1(3/5)
Explanation:
The slope of the tangent to y2 = 4x at (16, 8) is given by
The slope of the tangent to x2 = 32y at (16, 8) is given by
