If CF is perpendicular from the centre C of the ellipse `x^2/49+y^2/25=1` on the tangent at any port `P and G` is the point where the normal at P meets the minor axis, then `(CF *PG)^2` is equal to

If CF is perpendicular from the centre of the ellipse x^2/25+y^2/9=1 to the tangent at P, G is the point where the normal at P meets the major axis, then CF. PG =

If CF be the perpendicular from the centre C of the ellipse (x^(2))/(12)+(y^(2))/(8)=1 , on the tangent at any point P and G is the point where the normal at P meets the major axis, then the value of (CF*PG) equals to :

If CF be the perpendicular from the centre C of the ellipse (x^(2))/(12)+(y^(2))/(8)=1 , on the tangent at any point P and G is the point where the normal at P meets the major axis, then the value of (CF*PG) equals to :

The product of the perpendiculars from the two foci of the ellipse (x^(2))/(9)+(y^(2))/(25)=1 on the tangent at any point on the ellipse

5sqrt3x+7y=70 is a tangent to the ellipse x^2/49+y^2/25=1 at the point P. Find the coordinates of P and the equation of the normal at P .

If M_(1) and M_(2) are the feet of perpendiculars from foci F_(1) and F_(2) of the ellipse (x^(2))/(64)+(y^(2))/(25)=1 on the tangent at any point P of the ellipse then

Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 at any point P .

If PN is the ordinate of a point P on the ellipse x^2/a^2+y^2/b^2=1 and the tangent at P meets the x-axis at T then show that (CN) (CT)= a^2 where C is the centre of the ellipse.

Equation of a tangent to the ellipse x^2/36+y^2/25=1 , passing through the point where a directrix of the ellipse meets the + ve x-axis is

A trapezium is formed by the pair of tangents of parabola P:y=(x^(2))/(4)+1 drawn from the centre of the ellipse E:(x^(2))/(4)+y^(2)=(1)/(4) , tangent at the vertex of P and the tangent at end point of the minor axis of E. The area (in sq. units) of trapezium is