Dr. SK Goyal Solutions for Chapter: Circle, Exercise 9: EXERCISE ON LEVEL-II
Dr. SK Goyal Mathematics Solutions for Exercise - Dr. SK Goyal Solutions for Chapter: Circle, Exercise 9: EXERCISE ON LEVEL-II
Attempt the practice questions on Chapter 4: Circle, Exercise 9: EXERCISE ON LEVEL-II with hints and solutions to strengthen your understanding. Skills in Mathematics Coordinate Geometry for JEE Main & Advanced solutions are prepared by Experienced Embibe Experts.
Questions from Dr. SK Goyal Solutions for Chapter: Circle, Exercise 9: EXERCISE ON LEVEL-II with Hints & Solutions
The line , cuts the lines in and . If and are two other points, show that all these four points are con-cyclic.

For what values of and , circle belongs to the co-axial system determined by the circles
and ?

'' is a fixed point and a point which moves along a fixed straight line not passing through is taken on such that (constant). Prove that the locus of is a circle. Explain how the locus of can still be regarded as as a circle even if the fixed straight line passes through ''.

The circles and intersect at and . A line through meets one circle at and a parallel line through meets the other circle at . Show that the locus of the mid point of is a circle.

A circle of radius meters is having is centre at at the origin. Two circles II and III with centres at and of radii and metres respectively touch the circle I and also touch the -axis to the right of . Find the equations to any two common tangents to the circles II and III.

If the origin be at one of the limiting points of a system of co-axial circles of which is a member, show that the equation of the system of circles them all orthogonally is
.
Also show that other limiting point is .

The straight line makes with chord which subtends a right angle at the origin. Show that . Also show that touches a circle whose radius is .

A circle of radius units rolls on the outside of the circle touching it externally. Find the locus of the centre of this outer circle. Also, find the equations of the common tangents of the two circles when the line joining the centres of the two circles make an angle of with -axis.
