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The perpendicular at a point of contact ...

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

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

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Knowledge Check

  • If two tangents to a circle are inclined at an angle of 35^(@), the radit through the points of contact of those tangents are inclined at an angle of ..........

    A
    `35 ^(@)`
    B
    `55^(@)`
    C
    `125^(@)`
    D
    `145^(@)`

  • The pair of tangents AP and AQ drawn from an external point to a circle with centre O are perpendicular to each other and the length of each tangent is 4 cm. Then, the radius of the circle is ... cm.

    A
    10
    B
    7.5
    C
    5
    D
    2.5

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