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in Mathematics by (53.3k points)

Through the vertex O of the parabola y2 = 4x, the chords OP at OQ are drawn at right angles to each other. Then, the equation of the locus of the midpoint of chord PQ is y2 = k (x + b) where |k + b|  is equal to .....

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by (53.1k points)
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Best answer

Let P = (t12, 2t1) and Q = (t22 , 2t1) . Now ∠POQ = 90° So

t1t2 = -4   ...(1)

Therefore

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