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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
Options:
A .  9x2−8y2+18x−9=0
B .  9x2−8y2−18x+9=0
C .  9x2−8y2−18x−9=0
D .  9x2−8y2+18x+9=0
Answer: Option B
:
B
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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