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Show that the locus of the centres of th...

Show that the locus of the centres of the circles passing through the points of intersections of the circles `x^2+y^2=1` and `x^2+y^2-2x+y=0` is `x+2y=0`

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AAKASH SERIES-SYSTEM OF CIRCLES-Additional Exercise
  1. Show that the area of the triangle formed by the common chord of two c...

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  2. Show that the condition that the circle x^2+y^2+2g1x+2f1y+c1=0 bisects...

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  3. Show that the circle x^2+y^2+4x+4y-1=0 bisects the circumference of th...

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  4. Find the equation of the circle which cuts each of the following circl...

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  5. If a circle passes through (1,2) and cuts x^2+y^2=4 orthogonally then ...

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  6. Show that the equation of the circles passing through (1,1) and the po...

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  7. If a circle passes through the point (a,b) and cuts the circle x^2+y^2...

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  8. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

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  9. Show that the distance of the centre of the circle x^2+y^2=2x from the...

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  10. If the circles x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect in ...

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  11. Circles of radii 3,4,5 touch each other externally . Let P be the poin...

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  12. Three circles touch each other externally. The tangents at their point...

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  13. Show that the equation of the line passsing through the points of inte...

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  14. Two circles x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Show that the equa...

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  15. A circle C of radius unity lies in the first quadrant and touches both...

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  16. From a point A(3,2) , tangents are drawn to the circle x^2+y^2-2x+4y-4...

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  17. Show that the locus of the centres of the circles passing through the ...

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  18. Show that the equation of the circle which passes through the point (-...

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