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P (6,3) is a point on the hyperbola `(x ^(2))/( a ^(2)) - (y ^(2))/( b ^(2)) =1.` If the normal at point P intersect the x-axis at (10,0) , then the eccentricity of the hyperbola is

A

`sqrt ((5)/(3))`

B

`(sqrt13)/( 3) `

C

`sqrt ((5)/(2))`

D

`(sqrt13)/( 2)`

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The correct Answer is:
A
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