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In the given figure the sides AB, BE and...

In the given figure the sides AB, BE and CA of triangle ABC touch a circle with centre O and radius r at P,Q and R respectively.
Prove that : `(i) AB+CQ=AC+BQ`
(ii) Area `(triangleABC)=(1)/(2)("Perimeter of"triangleABC)xxr`

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OSWAL PUBLICATION-DIKSHA QUESTIONS -Unit -IV: Geometry (Circles) (Short Answer type questions)
  1. If Fig , AOB is diameter of a circle with centre O and AC is a tangent...

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  2. In figure PQ is a tangent at a point C to a circle with centre O. If ...

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  3. From the external point P tangents PA and PB are drawn to a circle wit...

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  4. From an external point P, two tangents PT and PS are drawn to a circle...

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  5. The incircle of an isosceles triangle ABC, in which AB = AC, touches t...

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  6. Prove that the tangent at any point of circle is perpendicular to the ...

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  7. A circle is inscribed in the quadrilateral ABCD. Given BC= 38 cm . BQ=...

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  8. Find the value of x.

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  9. In Fig , AB is a chord of a circle , with centre O , such that AB = 16...

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

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  11. In Fig , are two concentric circles of radii 6 cm and 4 cm with centre...

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  12. From a point P, two tangents PT and PS are drawn to a circle with cent...

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  13. In Figure, a quadrilateral ABCD is drawn to circumscribe a circle . ...

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  14. In fig , a circle isinscribed in a triangle PQR with PQ = 10 cm , QR =...

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  15. In the given figure the sides AB, BE and CA of triangle ABC touch a c...

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  16. In figure , a triangle ABC is drawn to circumscribe a circle of radius...

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  17. A triangle ABC is drawn to circumscribe a circle of radius 4 cm suc...

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  18. In Fig XY and X'Y' are two parallel tangents to a circle with centre ...

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  19. Two tangents T P and T Q are drawn to a circle with centre O fro...

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  20. A circle touches the side BC of DeltaABC at P and touches AB and AC pr...

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