If (x1, y1) and (x2, y2) are two points on the parabola y2 = 8x, at which the normals to the curve intersect on the curve, then
(A) x1 x2 = 8
(B) y1 y2 = 16
(C) y1 y2 = 32
(D) x1 x2 = 16
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If (x1, y1) and (x2, y2) are two points on the parabola y2 = 8x, at which the normals to the curve intersect on the curve, then
(A) x1 x2 = 8
(B) y1 y2 = 16
(C) y1 y2 = 32
(D) x1 x2 = 16
If (x1, y1) and (x2, y2) are two points on the parabola y2 = 8x, at which the normals to the curve intersect on the curve, then
(A) x1 x2 = 8
(B) y1 y2 = 16
(C) y1 y2 = 32
(D) x1 x2 = 16
Correct option (C), (D)
Explanation :
If the normals at (at12, 2at1) and (at22, 2at2) meet again on the curve, then, x1x2 = 4a2 and y1y2 = 8a2. Here, a = 2.