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Prove that the perpendicular at the poin...

Prove that the perpendicular at the points of contact to the tangents to a circle passes through the centre.

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R G PUBLICATION-CIRCLES-EXERCISE
  1. If tangents PA and PB from a point P to a circle with centre O are inc...

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

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  3. Prove that the perpendicular at the points of contact to the tangents ...

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  4. The length of a tangent from a point A at distance 5 cm from the centr...

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  5. Two concentric circles are of radii 5 cm and 3 cm.Find the length of t...

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  6. In Fig.10.13, XYandX'Y' are two parallel tangent to a circle with cen...

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

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  8. Prove that parallelogram circumscribing a circle is a rhombus.

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

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  10. In figure ,if AD,AE, and BC are tangents to the Circle at D,E and F re...

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  11. In the adjacent figure if AB=12 cm,BC=8cm and AC=10 cm then the value ...

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  12. In figure the perimeter of triangle ABC is

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  13. In figure AP is a tangent to the circle with centre O such that OP=4cm...

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  14. In figure if AP=PB then

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  15. In figure if AP=10cm then the value of BP will be

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  16. In figure if AB=8cm and PE=3cm then the value of AE will be

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  17. In figure PQ and PR are tangents drawn from P to a circle with centre ...

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  18. In figure RQ is a tangent to the circle with centre O.If PQ=6cm and QR...

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  19. In figure if Quadrilateral PQRS circumscribes a circle then PD+QB=

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  20. In figure two equal circles touch each other at T if QP =4.5 cm then Q...

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