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
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
A.
3 cm
Distance between the centre is 7 cm.
Radius of one circle (r1) = 4 cm
Radius of second circle (r2) = 7 - 4 = 3cm
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