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Prove that tangent drawn at any point of...

Prove that tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.

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AGRAWAL PUBLICATION-CIRCLES-EXAMPLE
  1. In the figure AOB is the diameter of a circle with centre O. The tange...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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