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Find the equation of the circle which pa...

Find the equation of the circle which passes through the point (0,-3) and intersect the circles given by the equations `x^2+y^2-6x+3y+5=0` and `x^2+y^2-x-7y=0` orthogonally .

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Find the equation of the circle which passes through the origin and intersects the circles below, orthogonally. x^2 + y^2 - 4x - 6y - 3 = 0 . x^2 + y^2 - 8y + 12 = 0 .

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Find the equation of the circle which passes through the points (2,0)(0,2) and orthogonal to the circle 2x^2+2y^2+5x-6y+4=0 .

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

Show that the equation of the circle which passes through the point (-1,7) and which touches the straight line x=y at (1,1) is x^2+y^2+3x-7y+2=0

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AAKASH SERIES-SYSTEM OF CIRCLES-Solved Examples
  1. If the the angle between the circles x^2+y^2-12x-6y+41=0 and x^2+y^...

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

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

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

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  6. Find the radical centre of the following circles. x^2 + y^2 + 4x - ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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