Tangents are drawn from any point on the line `x+4a=0` to the parabola `y^2=4a xdot` Then find the angle subtended by the chord of contact at the vert

Question

Tangents are drawn from any point on the line `x+4a=0` to the parabola `y^2=4a xdot` Then find the angle subtended by the chord of contact at the vert

Tangents are drawn from any point on the line `x+4a=0` to the parabola `y^2=4a xdot` Then find the angle subtended by the chord of contact at the vertex.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Let `P(t_(1))andQ(t_(2))` be the point of contact of tangents drawn from any point on the line x+4a=0.
`:." "at_(1)t_(2)+4a=0`
`ort_(1)t_(2)=-4`
This is the condition of chord PQ to subtend a right angle at the vertex.
So. required angle is `90^(@)`.

5 views Answered 2023-02-05 15:29