The point of intersection of the tangents of the parabola `y^(2)=4x` drawn at the end point of the chord x+y=2 lies on

Question

The point of intersection of the tangents of the parabola `y^(2)=4x` drawn at the end point of the chord x+y=2 lies on

The point of intersection of the tangents of the parabola `y^(2)=4x` drawn at the end point of the chord x+y=2 lies on
A. x-2y=0
B. x+2y=0
C. y-x=0
D. x+y=0

Monjur Alahi

6 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

Correct Answer - C
(3) Let the point of intersection be `(alpha,beta)`.
Therefore, the chord of contact w.r.t. this point is
`betay=2x+aalpha`
which is the same as x+y=2. Therefore,
`alpha=beta=-2`
These value satisfy y-x=0.

6 views Answered 2023-02-05 15:29