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

Find the equation of circle which intersect the circle `x^2+y^2-6x+4y-3=0` orthogonally and passes through the point (3,0) and touches Y-axis.

Text Solution

Verified by Experts

The correct Answer is:
`x^2+y^2-6x-6y+9=0`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.2 (Very Short Answer)|9 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.2 (Short Answer)|5 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.1 (Short Answer)|11 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle which intersects the circle x^2 + y^2 - 6x + 4y - 3 = 0 orthogonally and passes through the point (3,0) and touches Y-axis.

Find the equation of a circle which is concentirc with x^(2) +y^(2) - 6x - 4y - 12 = 0 and passing through (-2,14) .

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

Find the equation of the circle which cuts orthogonally the circle x^2+y^2-6x+4y-12=0 and having the centre at (-1,2).

Find the equations of the circles which cut orthogonally the circles x^2+y^2-6y+1=0, x^2+y^2-4y+1=0 and touch the line 3x+4y+5=0

The equation of the circle radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0" at this point (5,5) is"