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For each positive integer consider the point P with abscissa `n` on the curve `y^2-x^2=1.` If `d_n` represents the shortest distance from the point P to the line `y=x` then `Lim_(n->oo)(n.d_n)` as the value equal to (A) `1/(2sqrt2)` (B) `1/2` (C) `1/sqrt2` (D) `0`

A

`(1)/(2sqrt(2))`

B

`(1)/(2)`

C

`(1)/(sqrt(2))`

D

`0`

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ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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