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Choose the correct answer and give justi...

Choose the correct answer and give justification for each.
(i) The angle between a tangent to a circle and the radius at the point of contact is

A

`60^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
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The common point of a tangent to a circle and the circle is called the point of contact.

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Knowledge Check

  • Choose the correct answer and give justification for each. (ii) From a point Q, the length of the tangent to a circle is 24 cm. and the distance of Q from the centre is 25 cm. The radius of the circle is 7 c m 12 c m 15 c m 24.5 c m

    A
    `7cm`
    B
    `12cm`
    C
    `15cm`
    D
    `24.5cm`
  • Choose the correct answer and give justification for each. In the figure XY and X^(1)Y^(1) are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X^(1)Y^(1) at B then /_AOB=

    A
    `80^(@)`
    B
    `100^(@)`
    C
    `90^(@)`
    D
    `60^(@)`
  • Choose the correct answer and give justification for each. If AP and AQ are the two tangents a circle with centre O so that /_POQ=110^(@) , then /_PAQ is equal to

    A
    `60^(@)`
    B
    `70^(@)`
    C
    `80^(@)`
    D
    `90^(@)`
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