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Question

The value of m for which y = mx + 6 is a tangent to the hyperbola x2100y249=1 is .

A
1710
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B
1720
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C
1710
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D
1720
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Solution

The correct option is D 1720
If y = mx + c touches x2a2y2b2=1,
then,
c2=a2m2b2Here, c=6, a2=100 and b2=4936=100m249100m2=85m=±1720

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