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Find the equation of the circle passing through the intersection of the circles `x^2 + y^2-4 = 0` and `x^2+y^2-2x-4y+4=0` and touching the line `x + 2y=0`

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The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

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

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A DAS GUPTA-Circles-EXERCISE
  1. Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...

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  2. The equation of the circle on the common chord of the circles (x-a)^(2...

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

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  4. Find the equation of the circle passing through the point of intersect...

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  5. Find the equation of the circle whose diameter is the common chord of ...

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  6. The line Ax+By+=0 cuts the circle by x^2+y^2+Ax+By+C=0at P and Q. The ...

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  7. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

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  8. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

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  9. Consider a family of circles passing through two fixed points A (3,7) ...

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

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

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

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

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

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

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

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

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

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

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