B.Sc. Part 1;Co-ordinate Geometry By Lalji Prasad hole solutions

0:09:51

Prove that the length of the common chord of the circles (i)x^2+y^2+2λx+c^2=0 and x^2+y^-2μy-c^2=0

0:05:45

(19) Find the radical centre of the circles (iv)x^2+y^2=r^2,(x-a)^2+y^2=r^2nd x^2+(y-b)^2=r^2

0:15:09

Find the equation of the circle which passes through the points of intersection of the circles

0:20:35

Find the equation of the circle which passes through the points of intersection of the circles

0:12:22

Find the equation to the circle which cuts orthogonally each of the circles (iv) x^2+y^2+3x-5y+6=0

0:12:46

Find the equation of the circle which passes through the points of intersection of the circles

0:05:20

Prove that the following pairs of circles are orthogonal: x^2+y^2+4x-2y=0 and 2(x^2+y^2)+3x-4y+2=0

0:04:03

Find the equation of the circle circumscribing the triangle formed by the axes and the line ax+by=1

0:10:40

Show that all circles of a Co-axal system are cut orthogonally by every circle passing through the

0:07:47

Show that the following pairs of circles touch each other : x^2+y^2-2x-4y+3=0 and x^2+y^2-6x-8y+23=0

0:07:34

Show that the circle on the chord xcosα + ysinα=p of the circle x^2+y^2=a^2 as diameter is

0:04:25

Prove that the following pairs of circles are orthogonal: x^2+y^2=2 and x^2+y^2+3x-4y+2=0

0:17:23

Find the equation of the circle passing through the points of intersection of the circles

0:10:10

Show that the following circles touch each other & find in each case the point of contact:

0:07:23

Find the equation of the circle which passes through the point(-3,1)& also through the line x+3y+2=0

0:11:54

Prove that the length of common chord of the circles (x-a)^2+(y-b)^2=r^2 and (x-c)^2+(y-d)^2=r^2

0:14:31

Find the radical axis of the circles x^2+y^2+2ax+c^2=0 & x^2+y^2+2b^2=0 & deduce that the condition

0:09:16

Show that the following circles touch each other & find in each case the point of contact:

0:11:22

Find the equation to the circle which cuts orthogonally each of the circles (iii) x^2+y^2+2y+8=0

0:10:02

Find the point of intersection of two tangents drawn to the circle x^2+y^2+2x-6y+7=0 at the points

0:08:52

Find the equation of the circle which passes through the points of intersection of the circles (ii)

0:08:09

Show that the following pairs of circles touch each other : x^2+y^2-2x+2y-115=0 & x^2+y^2+4x-2y-47=0

0:11:23

Find the limiting points of the system (i)x^2+y^2+2x+4y+7=0 and x^2+y^2+5x+y+4=0

0:10:32

Show that the circles x^2+y^2-4x+6y+8=0 & x^2+y^2-10x-6y+14=0 touch each other at the point (3,-1)