The number of possible tangents which can be drawn to the curve 4x2 - 9y2= 36, which are perpendicular to the straight line 5x + 2y - 10 = 0, is
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a
0
b
1
c
2
d
4
answer is A.
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Detailed Solution
Tangent tox29−y24=1 at P(3secθ,2tanθ) is x3secθ−y2tanθ=1This is perpendicular to 5x+2y−10=0∴ 2secθ3tanθ=25 or sinθ=53which is not possible.Hence, there is no such tangent.