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Two tangents to the parabola y²=8x meet the the tangent at its vertex in the points P and Q. If PQ=4 units, prove that the locus of the point of the intersection of the two tangents is y²=8(x+2).

Two tangents to the parabola y²=8x meet the the tangent at its vertex in the points P and Q. If PQ=4 units, prove that the locus of the point of the intersection of the two tangents is y²=8(x+2).

Grade:11

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
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