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Consider a family of circles passing thr...

Consider a family of circles passing through two fixed points `A (3,7) & B(6,5)` then the chords in which the circle `x^2 + y^2_4x-6y-3=0` cuts the members of the family are concurrent at a point.Find the coordinates of this point.

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A DAS GUPTA-Circles-EXERCISE
  1. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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