Tangents: Definition

Q.

The line joining the centre of a circle and the point from which two tangents are drawn bisects the angle between the tangents. State whether True or False.

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1. True

2. False

Q.

A tangent drawn at a point M on the circle is perpendicular to the

1. chord AB

2. diameter MN

3. Arc PQR

4. None of the above

Q.

The radius of a circle and the tangent are perpendicular at the point of ___ .

Q.

Tangents drawn at two ends of a diameter of a circle are _____.

1. parallel

2. perpendicular

3. inclined to each other

4. coincident

Q. To draw a pair of tangents to a circle which are inclined to each other at an angle of ${30}^{\circ }$, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be

1. ${60}^{\circ }$
2. ${150}^{\circ }$
3. ${90}^{\circ }$
4. ${120}^{\circ }$

Q.

Construct tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and find its approximate length.

1. 3 cm

2. 4.5 cm

3. 3.5 cm

4. 4 cm

Q. P is a point from where only one tangent can be drawn to a circle with centre O. Then P is the circle.

1. outside
2. inside
3. on

Q. To draw a pair of tangents to a circle which are inclined to each other at an angle of ${47}^{\circ }$, it is required to draw tangents at the end points of those two radii of the circle, the angle between the radii is

1. ${123}^{\circ }$
2. ${47}^{\circ }$
3. ${133}^{\circ }$
4. ${43}^{\circ }$

Q. A circle can have ______ parallel tangents at the most to a given secant.

1. zero
2. infinite
3. one
4. two

Q.

The radius is perpendicular to the tangent at the point of contact. State whether True or False.

1. True

2. False