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Question

Find the equation of the chord of contact of tangents to the parabola
y2 = 4x from the point P(3,4).


A

x2y6=0

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B

x+2y+6=0

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C

x+y+3=0

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D

x2y3=0

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Solution

The correct option is D

x2y3=0


Equation to the chord of contact of tangents drawn from the point P(x1, y1) is T = 0

yy1 2a(x + x1) = 0

Here,

x1 = 3 y1 = 4

y(4) 2(x + 3) = 0

4y 2x + 6 = 0

2x 4y 6 = 0 or x 2y 3 = 0


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