Question

Let the curve C be the mirror image of the parabola y² = 4x with respect to the line x + y + 4 = 0. If A and B
are the points of intersection of C with the line y = -5, then the distance between A and B is

Answer 1

ANSWER

Let P(x,y) be the required point on the parabola which is nearest to the focus.

Then D= √(x−a) 2 +y 2

Now y ² =4ax

So, D=√ (x−a) 2 +4ax

D=√(x+a) 2

D=(x+a)

Now, the distance will be shortest when x=0.

Step-by-step explanation:

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