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If the sides of a quadrilateral touch...

If the sides of a quadrilateral touch a circle, prove that the sum of a pair of opposite sides is equal to the sum of the other pair.

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RD SHARMA-CIRCLES-All Questions
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  2. If from any point on the common chord of two intersecting circles, ...

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  3. If the sides of a quadrilateral touch a circle, prove that the sum ...

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  4. If A B ,\ A C ,\ P Q are tangents in Fig. 10.51 and A B=5c m , find...

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  5. Prove that the intercept of a tangent between two parallel tangents...

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  6. In Fig. P Q is tangent at a point R of the circle with centre O...

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  7. If P A and P B are tangents from an outside point P such that P A=1...

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  8. From an external point P , tangents P A and P B drawn to a circl...

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  9. In Fig. 10.53, A B C is a right triangle right-angled at B such ...

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  10. From a point P , two tangents P A and P B are drawn to a circ...

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  11. Two tangent segments P A and P B are drawn to a circle with cent...

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  12. If A B C is isosceles with A B=A C and C(O ,\ r) is the incircl...

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  13. In Fig. 10.54, a circle touches all the four sides of a quadrilater...

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

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  15. Two circles touch externally at a point P . From a point T on th...

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  16. In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in ...

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  17. In Fig. 10.59, A B is a chord of length 16cm of a circle of radi...

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  18. In Fig. 10.60, P A and P B are tangents from an external point P...

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  19. In Fig. 10.61, B D C is a tangent to the given circle at point D...

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  20. In Fig. 10.62, P O|Q O . The tangents to the circle at P and Q i...

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