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Prove that the perpendicular at the poin...

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. Two equal chords AB and CD of a circle C(O,r) when produced meet at a ...

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  2. If a diameter of a cirlce bisects each of the chords of the circle, pr...

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  3. Prove that the perpendicular at the point of contact to the tangent to...

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  4. Diameter is the largest chord of the circle. (True/False)

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  5. PQ and RQ are chords of a circle equidistant from the centre. Prove th...

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  6. In given Fig. , AD = AE and D and E are points on BC, such that BD = ...

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  7. Prove that of all chords of a circle through a given point within it, ...

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  8. Bisector AD of angleBAC of triangleABC passes through the centre O of ...

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  9. If two equal chords of a circle intersect within the circle, prove tha...

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  10. If two equal chords of a circle intersect within the circle, prove tha...

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  11. If O is the centre of the circle, find the value of x in each of the f...

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  12. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

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  13. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

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  14. O is the centre of the circle. If angleABD = 35^@ and angleBAC = 70^@....

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  15. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleACD

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  16. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBAD

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  17. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBDA

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  18. DE is a chord parallel to diameter AC of the circle with centre O. If ...

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  19. C is a point on the minor arc of the circle, with centre O. If angleAC...

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  20. If O is the circumcentre of a triangleABC, OD bot BC, prove that angle...

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