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Prove that the centre of a circle touchi...

Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.

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KALYANI PUBLICATION-CIRCLES-EXERCISE
  1. From a point P, two tangents PA and PB are drawn to a circle C(0,r). I...

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

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

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

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

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

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

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

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

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  10. What is the relation between tangent and secant?

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

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

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  13. If two tangents are drawn from an external point to a circle, what is ...

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  14. How many tangents can you draw on a circle.

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  15. If two tangents are drawn to a circle from an external points, they su...

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  16. The length of tangent from an external point is always then the lengt...

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

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

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  19. If OA and OB are radii and PA and PB are tangents to a circle, a speci...

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  20. If the angle between two tangents drawn from a point outside of a circ...

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