Let `P (a sec theta, b tan theta) and Q (a sec phi, b tan theta)` where `theta+phi=pi/2`, be two points on the hyperola `x^(2)/a^(2)-y^(2)/b^(2)=1`, If (h,k) is the point of intersection of normals of P and Q then find the value of k.

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 =

If P( 3 sec theta, 2 tan theta ) and Q( 3sec phi, 2 tan phi ) " where" theta +phi =(pi )/(2) , be two distinct points on the hyperbola (x^(2))/( 9) -(y^(2))/( 4) =1 . Then the coordinate of the points of intersection of the normals at P and Q is

If a sec theta + b tan theta = c then (a tan theta + b sec theta)^(2)=

If sec theta + tan theta = 1/2 then find sin theta value.

If sec theta + tan theta = 1/2 , then sec theta =………

The locus of the point (a sec theta, b tan theta ) where 0 le theta lt 2pi is

The locus of the point ( a sec theta + b tan theta , bsec theta +atan theta) where 0 le theta lt 2pi is