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Question

The equation of the tangents to 4x2−9y2=36 which are perpendicular to the straight line 2y+5x=10 are

A
5(y3)=2(x1174)
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B
5(y2)=2(x18)
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C
5(y+2)=2(x18)
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D
none of these
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Solution

The correct option is D none of these
Given, 2y+5x=10
2y+5=0
y=52.
Hence the required slope is 25.
Now
4x29y2=36.
4x236=9y2
y=13.4x236.
y=8x64x236 =25
40x=124x236
10x=34x236
100x2=36x2324
64x2=324
x2=8116.
Hence no real values of x.
Hence answer is none of these.

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