If a chord, which is not a tangent, of the parabola y^2=16x has the equation 2x+y=p, and midpoint (h,k), then which of the following is(are) possible value(s) of p, h and k?

JEE Advanced 2017 Mathematics question

If a chord, which is not a tangent, of the parabola has the equation , and midpoint , then which of the following is(are) possible value(s) of , and ?

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The chord with midpoint is : , with slope . Equating with the slope of : , so (B) and (D) are impossible. The chord becomes , i.e.

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-026629