The Locus Of The Point Of Intersection Of Two Perpendicular Tangent To The Ellipse , Is

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Practice over 30000+ questions starting from basic level to JEE advance level.

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Question

easy

Correct option is

x² + y² = a² + b²

x² + y² = a² + b², it is fundamental, this is circle.

The locus of the foot of the perpendiculars to any tangent of an ellipse from the foci is

The product of the perpendiculars from the foci upon any tangent to the ellipse is

If P and D are the extremities of a pair of conjugate diameters of the ellipse , then the locus of the middle point ofPD is

The equation of the ellipse, referred to its axes as the axes of coordinates, which passes through the points (2, 2) and (1, 4) is

If CP and CD be any two semi-conjugate diameters of the ellipse and the circle with CP and CD as diameters intersect in R, then R lies on the curve

The locus of the point whose polar with respect to the ellipse touches the parabola y² = 4kx is

The polar of lx + my =1 with respect to the ellipse lies on the ellipse if

The locus of the poles of the tangents to the ellipse w.r.t. the circle x² + y² = a² is

A variable point P on the ellipse eccentricity e is joined to its foci S, S’. The locus of the incentre of is an ellipse of eccentricity

Q10

The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is