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Prove that opposite sides of a quadrilat...

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

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KALYANI PUBLICATION-CIRCLES-EXERCISE
  1. In figure, PQ is a tangent at a point R of the circle with centre O. I...

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  2. Two tangents PA and PB are drawn to circle with centre O from an exter...

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  3. Prove that opposite sides of a quadrilateral circumscribing a circle s...

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  4. ABC is a right angled triangle right angled at A. A circle is inscribe...

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  5. Prove that tangents from extremities of any chord makes equal angle wi...

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  6. PA and PB are two tangents drawn from an external point P at the point...

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  7. ABCD is a quadrilateral such thatangleD=90^@.The circle C(0,r) touches...

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  8. Prove that parallelogram circumscribing a circle is a rhombus.

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  9. From a point P, two tangents PA and PB are drawn to a circle C(0,r). I...

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  10. Prove that the length of tangents drawn from an external point to a ci...

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  11. Prove that the centre of a circle touching two intersecting lines lies...

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  12. In figure two equal circles touch each other at T if QP =4.5 cm then Q...

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  13. Draw a circle with centre O and radius 4 cm. Take a point P outside th...

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  14. Draw a circle of radius 1 cm. From a point P 2.2 cm apart from the cen...

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  15. Construct a tangent to a circle of radius 1.8 cm from a point on the c...

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  16. Draw a pair of tangents to a circle of radius 5 cm which are inclined ...

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  17. Draw a pair of tangent to a circle of radius 2.3 cm which are inclined...

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  18. What is the relation between tangent and secant?

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  19. From a point P,the length of the tangent to a circle is 15 cm and dist...

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  20. If CP and CQ are tangent from an external point C to a circle centered...

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