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A and B are two points in xy-plane, whic...

A and B are two points in xy-plane, which are `2sqrt2` units distance apart and subtend and angle of `90^@` at the point C(1, 2) on the x - y + 1= 0 which is larger than any angle subtended by the line segment AB at any other point on the line. Find the equation(s) of the circle through the points A, B and C

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PATHFINDER-CIRCLE-QUESTION BANK
  1. Find the point(s) of intersection of the line 2x + 3y = 18 and the cir...

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  2. Obtain the locus of the point of intersection of the tangent to the ci...

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  3. A and B are two points in xy-plane, which are 2sqrt2 units distance ap...

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  4. Two circles each of radius 5 units touch each at (1, 2) If the equati...

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  5. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  6. Find the locus of the mid points of the chords of the circle x^2 + y^2...

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

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  8. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  9. The chord of contact of tangents from a point P to a circle passes thr...

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  10. If the chord of contact of tangents from a point (x1,y1) to the circle...

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  11. The number of common tangents that can be drawn to the circles x^2+y^2...

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  12. The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...

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  13. The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...

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  14. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

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  15. The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

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  16. The locus of the centre of the circle which cuts orthogonally the circ...

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  17. If one of the diameters of the circle x^2+y^2-2x-6y+6=0 is a chord to ...

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  18. The equation of the circle passing through (2, 0) & (0, 4) and having ...

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  19. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

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  20. If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0, which ...

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