Home
Class 12
MATHS
P(1) and P(2) are the lengths of the per...

`P_(1)` and `P_(2)` are the lengths of the perpendicular from the foci on the tangent of the ellipse and `P_(3)` and `P_(4)` are perpendiculars from extermities of major axis and P from the centre of the ellipse on the same tangent, then `(P_(1)P_(2)-P^(2))/(P_(3)P_(4)-P^(2))` equals (where e is the eccentricity of the ellipse)

Promotional Banner

Similar Questions

Explore conceptually related problems

If P_(1) and P_(2) are the lengths of the perpendiculars from any points on an ellipse to the major and minor axis and if a and b are lengths of semi-major and semi-minor axis respectively,then

If p_1 and p_2 be the lengths of perpendiculars from the origin on the tangent and normal to the curve x^(2/3)+y^(2/3)= a^(2/3) respectively, then 4p_1^2 +p_2^2 =

If P and P denote the length of the perpendicular from a focus and the centre of an ellipse with semi - major axis of length a, respectively , on a tangent to the ellipse and r denotes the focal distance of the point , then

If P and P denote the length of the perpendicular from a focus and the centre of an ellipse with semi - major axis of length a, respectively , on a tangent to the ellipse and r denotes the focal distance of the point , then

The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20 are mutually perpendi­cular then P =

The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20 are mutually perpendi­cular then P =

If p is the length of the perpendicular from a focus upon the tangent at any point P of the the ellipse x^2/a^2+y^2/b^2=1 and r is the distance of P from the focus , then (2a)/r-(b^2)/(p^2) is equal to

If p_(1),p_(2),p_(3) are the perpendiculars from the vertices of a triangle to the opposite sides, then prove that p_(1)p_(2)p_(3)=(a^(2)b^(2)c^(2))/(8R^(3))