Embibe Experts Solutions for Chapter: Ellipse, Exercise 4: EXERCISE-4
Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Ellipse, Exercise 4: EXERCISE-4
Attempt the free practice questions on Chapter 19: Ellipse, Exercise 4: EXERCISE-4 with hints and solutions to strengthen your understanding. Beta Question Bank for Engineering: Mathematics solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Ellipse, Exercise 4: EXERCISE-4 with Hints & Solutions
The tangent at any point of a circle meets the tangent at a fixed point in and is joined to , the other end of the diameter through , Prove that the locus of intersection of and is an ellipse whose eccentricity is .

The tangent at to the ellipse is also a tangent to the circle Find Find also the equation to the common tangent.

Common tangents are drawn to the parabola the ellipse and the ellipse touching the parabola at and and the ellipse at and Find the area of the quadrilateral.

Find the equation of the largest circle with centre that can be inscribed in the ellipse

The tangent at a point on the ellipse intersects the major axis in and in the foot of the perpendicular from to the same axis. Show that the circle on as diameter intersects the auxiliary circle orthogonally.

The tangents from to the ellipse intersect at right angles. Show that the normals at the points of contact meet on the line .

If the normals at the points with eccentric angles on the ellipse are concurrent, then show that

Let be the perpendicular distance from the centre of the ellipse to the tangent drawn at a point on the ellipse. If and are the two foci of the ellipse, then show that
