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If the tangent drawn to the hyperbola 4y...

If the tangent drawn to the hyperbola `4y^2=x^2+1` intersect the co-ordinate axes at the distinct points A and B, then the locus of the mid-point of AB is:

A

`4x^(2)-y^(2)-16x^(2)y^(2)=0`

B

`4x^(2)-y^(2)+16x^(2)y^(2)=0`

C

`4x^(2)-y^(2)+16x^(2)y^(2)=0`

D

`4x^(2)-y^(2)-16x^(2)y^(2)=0`

Text Solution

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The correct Answer is:
d
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