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For each positive integer consider the p...

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)(nd_n)` has the value equal to:

A

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

B

(b) `(1)/(2)`

C

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

D

(d) `0`

Text Solution

Verified by Experts

The correct Answer is:
A
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