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Prove that the lengths of tangents drawn...

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

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

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.

Theorem 10.2 : The lengths of tangents drawn from an external point to a circle are equal.

Theorem: The length of two tangents drawn from an external point to a circle are equal.

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.

Prove that the angle between 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.

ABCD is a quadrilateral in which a circle is inscribed. Statement:1 The length of the sides of the quadrilateral can be A.P. and Statement: 2: The length of tangents from an external point to a circle are equal.

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

AGRAWAL PUBLICATION-CIRCLES-EXAMPLE
  1. In the figure, AB is the diameter of a circle with centre O and AT is ...

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  2. In the figure AOB is the diameter of a circle with centre O. The tange...

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  3. Prove that the lengths of tangents drawn from an external point to a c...

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  4. In the given figure, PQ is a tangent from an external point P and QOR ...

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  5. In the figure are two concentric circles of radii 6 cm and 4 cm, with ...

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  6. In the given figure, two tangents TP and TQ are drawn to a circle with...

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  7. Prove that tangent drawn at any point of a circle is perpendicular to ...

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  8. Prove that the tangent drawn at the mid point of an arc of a circle is...

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  9. In the figure two circles touch each other at A. A common tangents tou...

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  10. In the figure PQ is a chord of length 8 cm of a circle of radius 5 cm....

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  11. Let S denote the semiperimeter of a triangle ABC in which BC = a, CA =...

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  12. From an external point P, two tangents PA and PB, are drawna to a circ...

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  13. In the figure, O is the centre of a circle of radius 5 cm. T is a poin...

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  14. In the given figure, XY and X'Y' are two parallel tangents to a circle...

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  15. If an isosceles triangle ABC, in which AB = AC = 6 cm, is inscribed in...

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  16. In a right triangle ABC in which angle B = 90^@, a circle is drawn wit...

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  17. In the given figure common tangents AB and CD to two circles with cent...

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  18. A is a point at a distance 13 cm from the centre O of a circle of radi...

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  19. In fig 7, two equals circles, with centres O and O', touch each other ...

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  20. In the figure the radius of the circle of triangle ABC of area 84 cm^2...

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