Home
Class 12
MATHS
Find the equation of the circle which bi...

Find the equation of the circle which bisects the circumference of the circle `x^(2) + y^(2) + 2y - 3 = 0` and touches the straight line y = x at the origin.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + y^(2) - 5x +5y = 0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Multiple Choice Questions)|15 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Very Short Answer Type Questions)|18 Videos
  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line which passes through the centre of the circle x^(2) + y^(2) + 2x + 2y- 23 = 0 and is perpendicular to the straight line x-y+8 = 0.

Find the equation of the circle which passes through the points of intersection of the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 with the line x+y+2 = 0 and has its centre at the origin.

Find the equation of the family of circle which touch the pair of straight lines x^(2)-y^(2)+2y-1=0 .

The locus of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 4 & x^2 + y^2-2x + 6y + 1 =0 is :

If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circle x^2 + y^2 + 2x - 6y - b = 0 then (a + b) is equal to

Find the parametric equation of the circle x^(2) + y^(2) - 5x + 2y + 5 = 0 .

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 4x + 6y + 4 = 0 and passing through the point (2, -2).

Find the equations of circles which touch the axes and whose centres lie on the line x-2y=3

The circle x ^(2) +y^(2) -8 x+4=0 touches -

Equation of a circle having radius equal to twice the radius of the circle x^2+y^2+(2p +3)x + (3-2p)y +p-3 = 0 and touching it at the origin is