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If line y=2x+10 cuts the hyperbola x29y24=1 at P and Q , then point of intersection of tangents at P and Q to hyperbola is

A
[95,25]
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B
[95,25]
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C
[59,52]
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D
[59,29]
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Solution

The correct option is B [95,25]
The equation y=2x+10 becomes the chord of contact to the Required point
Let the required point be (x1,y1)
The chord of contact is given as xx19yy14=1y=4y1(xx191)(1)
Comparing it with y=2x+10
4y1=10y1=254x19y1=2x1=95

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