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Question

The area of the triangle formed by the lines x2−y2=0 and tangent at (3,2) to the hyperbola x2−y2=5 is

A
9
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B
4
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C
5
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D
1
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Solution

The correct option is C 5
Equation of tangent to the given hyperbola at (3,2) is 3x2y=5
and given lines are y=x,y=x
Solving above equation we get intersection points which are (0,0),(5,5),(1,1)
Therefore, area of the triangle =Δ=12∣ ∣001551111∣ ∣=12|(55)|=5
Hence, option 'C' is correct.

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