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Tangents are drawn from any point on the...

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.

Text Solution

Verified by Experts

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^(@)`.
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Knowledge Check

  • The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

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    B
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    C
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    D
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