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Two cocentric circle common centre O. A line 'l' intersects these circle A,B,C and D. Prove that AB = CD.

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If a line intersects two concentric circles (circles with the same centre) with centre O at A,B,C and D, prove that AB = CD

If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD

AB is a diameter of a circle having centre O and a circle is described having AO as diameter. A chord AD of the bigger circle intersects the smaller circle at C. Prove that BD = 2OC.

(True/ False) Two congruent circles with centres O and O' intersect at two points A and B. Then /_AOB = /_AO'B .

Two equal chords AB and CD of a circle with centre O, intersect each other at E. Prove that AD = CB

In fig., two circles with centres O, O' touch externally at a point A. A line through A is drawn to intersect these circles in B and C. Prove that the tangents at B and C are parallel.

In the given figure O is the centre of a circle and PO bisects angleAPD . Prove that AB = CD

Two congruent circles with centres C and O' intersect at A and B. If angleAO'B = 50^@ , then find angleACB

In two chords AB and CD intersect each AB and CD intersect each other at the point P. Prove that AP. PB = CP . DP

A straight line intersects thethree concentric circles at A, B, C. if the distance of line from the centre of the circles is 'P', prove that the area of the triangle formed by tangents to the circle at A, B, C is ((1)/(2P).AB.BC.CA) .

MODERN PUBLICATION-CIRCLES-EXERCISE
  1. Two cocentric circle common centre O. A line 'l' intersects these circ...

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  2. The radius of a circle is 8 cm and the length of its chords is 12 cm. ...

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  3. Find the length of a chord which is at a distance of 24 cm from the ce...

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  4. A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the...

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  5. Find the length of a chord which is at a distance of 24 cm from the ce...

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  6. PQ and RS are two parallel chords of a circle whose centre is O and ra...

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  7. PQ and RS are two parallel chords of a circle whose centre is O and ra...

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  8. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm a...

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  9. Two parallel chords of lengths 30 cm and 16 cm are drawn on the opposi...

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  10. In an equilateral triangle, prove that centroid and circumcentre coinc...

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  11. Two chords PQ and RS of a circle are parallel to each other and AB is ...

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  12. In fig., two circles with centres O, O' touch externally at a point A....

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  13. Prove that the right-bisector of a chord of a circle bisects the corre...

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  14. Two chords AB and AC of a circle are equal. Prove that the centre of t...

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  15. Two equal chords AB and CD of a circle C(O,r) when produced meet at a ...

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  16. Two equal chords AB and CD of a circle C(O,r) when produced meet at a ...

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  17. If a diameter of a cirlce bisects each of the chords of the circle, pr...

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  18. Prove that the perpendicular at the point of contact to the tangent to...

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  19. Diameter is the largest chord of the circle. (True/False)

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  20. PQ and RQ are chords of a circle equidistant from the centre. Prove th...

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  21. In given Fig. , AD = AE and D and E are points on BC, such that BD = ...

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