The line 4x - 7y + 10 = 0 intersects the parabola, y2 = 4x at the points A and B. The sum of the co-ordinates of the point of intersection of the tangents drawn at the points A and B is

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The line 4x - 7y + 10 = 0 intersects the parabola, y² = 4x at the points A and B. The sum of the co-ordinates of the point of intersection of the tangents drawn at the points A and B is

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C.O.C. of P(x₁,y₁)
w.r.t. y² = 4ax is

yy₁ = 2(x + x₁) ....(1)

compare with

4x – 7y + 10 = 0 ....(2)
to get (x₁ , y₁) $= (\frac{5}{2}, \frac{7}{2})$

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