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Find the equation of the circle which cu...

Find the equation of the circle which cuts the circles `x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0` and `x^2+y^2+6x-2y-3=0` orthogonally.

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The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

The equation of the circle which cuts orthogonally the three circles x^2+y^2+4x+2y+1=0, 2x^2+2y^2+8x+6y-3=0, x^2+y^2+6x-2y-3=0 is

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.

The equation of the tangent at the point (0, 3) on the circle which cuts the circles x^(2)+y^(2)-2x+6y=0 , x^(2)+y^(2)-4x-2y+6=0 and x^(2)+y^(2)-12x+2y+3=0 orthogonally is

Find the equation of the radical axis of the circles x^(2)+y^(2)-4x+6y-7=0,4(x^(2)+y^(2))+8x+12y-9=0

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 4x + 6y + 4 = 0 orthogonally is

AAKASH SERIES-SYSTEM OF CIRCLES-Solved Examples
  1. Find the radical centre of the following circles. x^2 + y^2 + 4x - ...

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  2. Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^...

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  3. Prove that the radical axis of the circles x^2+y^2+2gx +2fy+c=0 and x^...

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  4. If the straight line represented by x cos alpha + y sin alpha = p inte...

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  5. Find the equation of the circle passing through the intersection of th...

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  6. Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1...

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  7. If the the angle between the circles x^2+y^2-12x-6y+41=0 and x^2+y^...

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  8. Find the equation of the circle which passes through the point (0,-3) ...

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  9. If P and Q are conjugate points w.r.t a circle S=x^2+y^2+2gx+2fy+c=0 ,...

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  10. If the equations of two circles whose radii are a and a' are S=0 and S...

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  11. Find the equation of the cirlcle which cuts orthogonally the three ci...

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  12. Find the equation of the circle passing through the intersection of th...

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  13. If the straight line represented by x cos alpha + y sin alpha = p inte...

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  14. Find the equations of the circles which cut orthogonally the circles ...

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  15. Find the equation of the radical axis of the circles represented by 2x...

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  16. if the two circles x^2 + y^2 + 2gx + 2fy = 0 and x^2 + y^2 + 2g'...

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  17. Find the radical centre of the circles x^(2)+y^(2)+4x=7=0, 2x^(2)+2y...

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  18. Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^...

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  19. Prove that the radical axis of the circles x^2+y^2+2gx +2fy+c=0 and x^...

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  20. Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1...

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