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Choose the correct answer and give justi...

Choose the correct answer and give justification for each .
The angles between a tangent to a circle and the radius draw 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 tangent at any point of a circle is perpendicular to the radius through the point of contact.

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. How many tangents can you draw to a circle at a point?

Knowledge Check

  • Angle between the tangent and radius drawn through the point of contact is ……

    A
    `100^(@)`
    B
    `70^(@)`
    C
    `80^(@)`
    D
    `90^(@)`

  • Choose the correct answer and give justification for each. From a point Q, the length of the tangent to a circle is 4 cm. and the distance of Q from the centre is 5 cm. The radius of the circle is

    A
    3cm
    B
    12 cm
    C
    15cm
    D
    24.5cm

  • The angle between the two circles, each passing through the centre of the other is,

    A
    ` pi/6`
    B
    `pi/2`
    C
    `2pi/3`
    D
    `pi`

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