10

Mathematics

Circles

718+ practice questions available

Sample Practice Questions

5 questions shown — tap “Show Answer” to check yours.

1
Medium

If tangents PA and PB from external point P to a circle with centre O are such that angle AOB = 130°, then angle APB is:

A40°
B50°
C60°
D70°
2
Medium

In a right triangle with legs 5 cm and 12 cm, the inradius is:

A2 cm
B3 cm
C2.5 cm
D4 cm
3
Medium

Assertion (A): The lengths of tangents drawn from an external point to a circle are equal.\nReason (R): The line joining the external point to the centre bisects the angle between the tangents.

ABoth A and R are true and R is the correct explanation of A
BBoth A and R are true but R is not the correct explanation of A
CA is true but R is false
DA is false but R is true
4
Medium

If two tangents are drawn to a circle from an external point \(P\), and they are inclined at an angle of \(60^\circ\), and the radius is \(3\text{ cm}\), find the length of each tangent.

A3\text{ cm}
B3\sqrt{3}\text{ cm}
C6\text{ cm}
D\sqrt{3}\text{ cm}
5
Medium

If a circle touches all the sides of a parallelogram, then the parallelogram must be a:

ARectangle
BRhombus
CSquare
DTrapezium

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