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If the chords of contact of tangents from two points `(-4,2)` and `(2,1)` to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` are at right angle, then find then find the eccentricity of the hyperbola.

A

`sqrt2`

B

`sqrt ((3)/(2))`

C

`(sqrt5)/(2)`

D

`sqrt3`

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The correct Answer is:
B
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