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Question

If x = 9 is the chord of contact of the hyperbola x2y2=9, then the equation of the corresponding pair of tangents is

A
9x28y2+18x9=0
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B
9x28y218x+9=0
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C
9x28y218x9=0
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D
9x28y2+18x+9=0
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Solution

The correct option is B 9x28y218x+9=0
If x = 9 meets the hyperbola at (9,62) and (9,62).
Then, equations of tangent at these points are 3x22y3=0 and 3x+22y3=0.
The combined equation of these two is 9x28y218x+9=0.

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