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.The equation of the circle passing through three non-collinear points P(`x_1,y_1`) Q(`x_2,y_2`) and R(`x_3,y_3`) is

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Write the condition of collinearity of points (x_1,\ y_1),\ \ (x_2,\ y_2) and (x_3,\ y_3) .

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Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the straight line through (x_1, y_1) perpendicular to the line joining (x_2, y_2) and (x_3 , y_3) .

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The equation of circle passing through the point (1, 1) and point of intersection x^(2) + y^(2) = 6 and x^(2) + y^(2) -6x + 8 =0 , is

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersec...

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  2. (Converse of Theorem 3) The line joining the centre of a circle to the...

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  3. .The equation of the circle passing through three non-collinear points...

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  4. Two chords A B and A C of a circle are equal. Prove that the centre of...

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  5. If two chords A B and A C of a circle with centre O are such that the ...

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  6. If two arcs of a circle (or of congruent circles) are congruent, then ...

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  7. If two chord of a circle (or of congruent circles) are equal, then ...

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  8. The perpendicular from the centre of a circle to a chord bisects the ...

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  9. If two circles intersect in two points, prove that the line through th...

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  10. Find the length of the chord which is at 12 cm distance from center an...

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  11. In an isosceles triangle A B C with A B=A C , a circle passing through...

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  12. P Q and R S are two parallel chords of a circle and lines R P and S Q ...

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  13. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

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  14. D and E are points on equal sides A B and A C of an isosceles triangle...

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  15. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

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  16. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

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  17. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

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  18. Prove that any cyclic parallelogram is a rectangle.

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  19. A Ca n dB D are chords of a circle which bisect each other. Prove that...

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  20. A B C D is a parallelogram. The circle through A ,Ba n dC intersects C...

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