If two points `P & Q` on the hyperbola ,`x^2/a^2-y^2/b^2=1` whose centre is C be such that CP is perpendicularal to `CQ and a lt b`1 ,then the value of `1/(CP^2)+1/(CQ^2)=`

If two points P&Q on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 whose centre is C be such that CP is perpendicularal to CQ and a

P is a variable points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 whose vertex is A(a,0) The locus of the middle points AP is

The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cuts the minor axis in Q and PR is drawn perpendicular to the minor axis. If C is the centre of the ellipse, then CQ*CR =

If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , whose foci are S and S', then SP.S'P =

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose centre is C, meets the major and the minor axes at P and Q respectively then (a^(2))/(CP^(2))+(b^(2))/(CQ^(2)) is equal to

If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 cuts the circle x^(2)+y^(2)=a^(2) at points Q(x_(1),y_(1)) and R(x_(2),y_(2)) , then the vlaue of (1)/(y_(1))+(1)/(y_(2)) is

P and Q are two points on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 whose eccentric angles are differ by 90^(@) , then