Embibe Experts Solutions for Chapter: Two Dimensional Analytical Geometry-II, Exercise 1: Exercise
Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Two Dimensional Analytical Geometry-II, Exercise 1: Exercise
Attempt the free practice questions on Chapter 5: Two Dimensional Analytical Geometry-II, Exercise 1: Exercise with hints and solutions to strengthen your understanding. Mathematics Crash Course (Based on Revised Syllabus-2023) solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Two Dimensional Analytical Geometry-II, Exercise 1: Exercise with Hints & Solutions
Prove that the line is a tangent to the circle .

The equation of a circle of radius units and whose centre lies on the negative direction of -axis at a distance of units from the origin is

A focal chord of the ellipse makes an angle with major axis. Show that its length is .

If and are two focal chords of the ellipse and the eccentric angles of are respectively , show that are in .

Show that the tangent to a rectangular hyperbola terminated by its asymptotes is bisected at the point of contact.

A cable of a suspension bridge is in the form of a parabola whose span is metres. The road way is metres below the lowest point of the cable. An extra support is provided across the cable metres above the ground level. Find the length of the support if the height of the pillars are metres.

Find the equation and eccentricity of the ellipse, if the centre of ellipse is same as centre of the hyperbola , length of semi major axis is units, length of minor axis is units, the equation of major axis is .

Find the centre, foci and vertices of the hyperbola and draw the diagram.
