Number of circles that can be drawn through the non-collinear points is:

• exactly one

• two

• three

• three

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

• 7.5 cm

• 9 cm

• 8 cm

• 10 cm

33.

In a circle, a chord 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

• 2.5 cm

• 5 cm

• 7.5 cm

• 10 cm

The length of the chord which is at distance of 12 cm from the centre of a circle of radius 13 cm is

• 10 cm

• 5 cm

• 6 cm

• 12 cm

Points P, Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60°. Then the subtended angle by arc QR at the centre is:

• 80°

• 120°

• 140°

• 160°

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

• 3 cm

• 4 cm

• 5.5 cm

• 3.5 cm

AB is the diameter of a circle with centre O and P be a point on its circumference. If ∠POA = 120°, then the value of ∠PBO is

• 30°

• 60°

• 50°

• 40°

O is the centre of the circle and  and the shaded portion is x part of the circular region, then x = ?

• 1/12

• 1/9

• 1/6

• 1/4

The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is

• 2 cm

• 3 cm

• 4 cm

• 15 cm

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is:

• 1

• 

• 

•