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The equation of the circle passing throu...

The equation of the circle passing through the origin & cutting the circles `x^2 + y^2-4x+ 6y + 10 = 0` and `x^2 + y^2 +12y + 6=0` at right angles is -

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The equation of the circle passing through the origin delta cutting the circles x^(2)+y^(2)-4x+6y+10=0 and x^(2)+y^(2)+12y+6=0 at right angles is -

Find the equation of circle passing through the origin and cutting the circles x^(2) + y^(2) -4x + 6y + 10 =0 and x^(2) + y^(2) + 12y + 6 =0 orthogonally.

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)-10x-12y+40=0 and whose radius is 4.

Find the centre of the circle that passes through the point (1,0) and cutting the circles x^(2) + y ^(2) -2x + 4y + 1=0 and x ^(2) + y ^(2) + 6x -2y + 1=0 orthogonally is

The equation of the circle which pass through the origin and cuts orthogonally each of the circles x^(2)+y^(2)-6x+8=0 and x^(2)+y^(2)-2x-2y-7=0 is

The equation of the circle which pass through the origin and cuts orthogonally each of the circles x^(2)+y^(2)-6x+8=0 and x^(2)+y^(2)-2x-2y=7 is

A DAS GUPTA-Circles-EXERCISE
  1. Consider a family of circles passing through two fixed points A (3,7) ...

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  2. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  3. The equation of the circle passing through the origin & cutting the ci...

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  4. The equation of the circle which passes through the origin, center lie...

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  5. Prove that the two circles each of which passes through the point (0, ...

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  6. If the equations of two circles, whose radii are r and R respectively,...

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  7. The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts th...

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  8. The centre of the circle that cuts the circle x^2 +y^2 + 2g x + 2fy + ...

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  9. Find the equation of a circle which is co-axial with circles 2x^2 + 2y...

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  10. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

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  11. From a point P, tangents drawn to the circle x^2 + y^2 + x-3=0, 3x^2 +...

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  12. Let A = (-2,0) and B = (1,0) and P is a variable point such that /APB ...

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  13. A point moves such that the sum of the squares of its distances from t...

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  14. Two rods of lengths aa n db slide along the x- and y-a xi s , respecti...

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  15. A variable circle passes through the point P (1, 2) and touches the x-...

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  16. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

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  17. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

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  18. A circle of radius 'r' passes through the origin O and cuts the axes a...

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  19. A circle of radius r passes through the origin O and cuts the axes at ...

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  20. Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2...

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