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Let A (2sec theta, 3 tan theta ) and B(...

Let A ` (2sec theta, 3 tan theta ) and B( 2sec phi ,3 tan phi ) where theta + phi =(pi)/(2) ` be two point on the hyperbola ` (x^(2))/( 4) -( y^(2))/( 9) =1 .` If `(alpha , beta ) ` is the point of intersection of normals to the hyperbola at A and B ,then` beta` =

A

`- (13)/(3)`

B

`(13)/(3)`

C

`(3)/(13)`

D

`- (3)/(13)`

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