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Prove that the tangents drawn at the ends of the diameter of a circle are parallel.

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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.

RS AGGARWAL-CIRCLES-Test Yourself
  1. In the given figure ,'O is the centre of circle ,PQ is a chord and the...

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  2. If the angle between two radii of a circle is 130^(@) then the angle b...

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  3. If tangents PA and PB from a point P to circle with centre O drawn so ...

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  4. In the given figure, AD and AE are the tangents to a circle with centr...

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  5. In the given figure, a quadrilateral ABCD is drawn to circumscribe a c...

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  6. In the given figure, PA and PB are the tangents to a circle with centr...

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  7. In the given figure, PA and PB are two tangents from an external point...

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  8. Two tangent segments BC and BDare drawn to a circle with centre O such...

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  9. Fill in the blanks (i) A line intersecting a circle in two distinct ...

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

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  11. Prove that the tangents drawn at the ends of the diameter of a circle ...

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  12. In the given figure, if AB=AC, prove that BE=CE.

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  13. Theorem:If two tangents are drawn to a circle from an external point ;...

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  14. Prove that the tangents drawn at the end points of a chord of a circle...

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  15. सिद्ध कीजिए कि किसी वृत्त के परिगत समांतर चतुर्भुज समचतुर्भुज होता है...

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  16. Two concentric circles are of radii 5cm and 3cm respectively. Find the...

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  17. एक वृत्त के परिगत एक चतुर्भुज ABCD खींचा गया है सिद्ध कीजिए AB +CD =...

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  18. Prove that opposite sides of a quadrilateral circumscribing a circle s...

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  19. Prove that the angle between the two tangents drawn from an external ...

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  20. PQ is a chord of length 16cm of a circle of radius 10cm. The tangents ...

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