Home
Class 12
MATHS
Find the acute angle or angle or interse...

Find the acute angle or angle or intersection of the following circles.
a. `x^(2)+y^(2)-12x-6y+41=0, x^(2)+y^(2)+4x+6y-59=0`

Text Solution

Verified by Experts

The correct Answer is:
`theta=(pi)/4`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 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 acute angle or angle or intersection of the following circles. x^(2)+y^(2)+4x-14y+28=0, x^(2)+y^(2)+4x-5=0

Find the angle between the circles x^(2)+y^(2)=12x-6y+41=0, x^(2)+y^(2)+4x+6y-59=0

Obtain the parametric equation of each of the following circles. x^(2) + y^(2)-4x-6y-12=0

Discuss the relative position of the following pairs of circles. x^(2) +y^(2) -4x-6y-12 =0, x^(2)+y^(2) +6x+18y+26=0

The equation of the circle passing through the origin and the points of intersection of the two circles x^(2) + y^(2) - 4x - 6y - 3 = 0 , x^(2) + y^(2) + 4x - 2y = 0 " is " x^(2) + y^(2) - 28x - 18y = 0

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-8x-6y-21=0 x^(2)+y^(2)-2x-15=0and(1,2)

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

Find the radical centre of the following circles x^(2)+y^(2)-4x-6y+5=0,x^(2)+y^(2)-2x-4y-1=0,x^(2)+y^(2)-6x-2y=0

The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

Find the equation of the circle which passes through the origin and intersects each of the following circles orthogonally. x^(2)+y^(2)-4x+6y+10,x^(2)+y^(2)+12y+6=0