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Question

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

A
Zero
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B
1
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C
2
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D
4
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Solution

The correct option is A Zero
The line perpendicular to 5x+y10=0 is x5y+k=0
slope =15
Slope of tangent at a point to curve is dydx=4x9y
according to question
15=4x9y20x9y=0 which has no point in common with curve
So there is no such Tangent

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