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Question

Find the equation to the chord of contact of tangents drawn from a point p(4, 3) to the hyperbola

x216y29=1


A

4x + 3y = 12

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B

4x - 3y = 12

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C

3x + 4y = 12

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D

3x - 4y = 12

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Solution

The correct option is D

3x - 4y = 12


Equation to the chord of contact of tangents drawn from a point p(x1,y1) to the hyperbola x216y29=1 is

T=0

xx1a2yy1b21=0

Here ,point is (4, 3) to the hyperbola x216y29=1

Equation of chord of contact is T=0

4x163y91=0

x4y31=0

3x-4y=12


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