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Prove that the length of the tangents drawn from an external point to a circle are equal.

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Prove that the length of the tangent drawn from an external point to a circle are equal. Using the above, do the following: TP and TQ are tangents from T to the circle with circle O and R in any point on the circle. If AB is a tangent to the circle at R, prove that TA + AR =TB +BR.

Prove that the lengths of tangents drawn from an external point to a circle are equal.

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The lengths of tangents drawn from an external point to a circle are ________.

Compare the length of the tangents drawn from the external point to circle.

The length of tangents drawn from the external point to a circle are ........... .

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

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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