10th Standard CBSE - Maths - Circles

Buy 10th Maths MCQ Online Test CBSE Practice test pack

Question - 1

In the given figure, PA and PB are tangents from P to a circle with centre O. If ∠AOB = 130°, then find ∠APB.

  • A 40o
  • B 55o
  • C 50o
  • D 60o

Question - 2

In the given figure, PT is a tangent to a circle whose centre is O. If PT = 12 cm and PO = 13 cm then find teh radius of the circle.

  • A 5 cm
  • B 4 cm
  • C 6 cm
  • D 4.5 cm

Question - 3

In the given figure, PT is a tangent to the circle and O is its centre. Find OP.

  • A 16 cm
  • B 15 cm
  • C 18 cm
  • D 17 cm

Question - 4

In the figure, Ab is a chord of length 16 cm, of a circle of radius 10 cm. The tangents at A and B intersect at a point P. Find the length of PA.

  • A \(\frac { 20 }{ 5 } \)cm
  • B \(\frac { 40 }{ 5 } \)cm
  • C \(\frac { 20 }{ 3 } \)cm
  • D \(\frac { 40 }{ 3 } \)cm

Question - 5

If radii of two concentric circles are 4 cm and 5 cm, then length of each chord of one circle which is tangent to the other circle, is

  • A 3 cm
  • B 6 cm
  • C 9 cm
  • D 1 cm

Question - 6

in figure , if ㄥAOB = 125o, then ㄥCOD is equal to

  • A 62o
  • B 45o
  • C 35o
  • D 55o

Question - 7

In figure, AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, then ∠BAT is equal to

  • A 45o
  • B 60o
  • C 50o
  • D 55o

Question - 8

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle is drawn. Then, the area of the quadrilateral PQOR is

  • A 60 cm2
  • B 65 cm2
  • C 30 cm2    
  • D 32.5 cm2

Question - 9

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A, is

  • A 4 cm
  • B 5 cm
  • C 6 cm
  • D 8 cm

Question - 10

In the figure, the pair of tangents AP and AQ, drawn from an external point A to a circle with centre O, are perpendicular to each other and length of each tangent is 4 cm, then the radius of the circle is

  • A 10 cm
  • B 4 cm
  • C 7.5 cm
  • D 2.5 cm
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next