Circles Quiz

Q1: A circle has a number of tangents equal to

Q2: The length of tangent from an external point P on a circle with centre O is

Q3: If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is

Q4: The distance between two parallel tangents of acircle of radius 4 cm is

Q5: A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is

Q6: 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 are drawn. Then the area of the quadrilateral PQOR is

Q7: In the given figure, PA and PB are tangents from P to a circle with centre O. If ∠AOB = 130°, then find ∠APB.

Q8: A tangent intersects the circle at:

Q9: If angle between two tangents drawn from a point P to a circle of radius ‘a’and centre ‘O’ is 90°, then OP =

Q10: From a point P which is at a distance of 13 cm from the point O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

Q11: A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is

Q12: PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such ∠POR = 120°, then ∠OPQ is

Q13: 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.

Q14: A circle can have _____parallel tangents at a single time.

Q15: The length of tangent from an external point on a circle is

Q16: 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

Q17: The length of tangents drawn from an external point to the circle

Q18: Number of tangents drawn at a point of the , circle is/are

Q19: A line that intersects a circle in exactly one point is called a​

Q20: In the given figure, PT is a tangent to the circle and O is its centre. Find OP.

Q21: If the angle between two radii of a circle is 110º, then the angle between the tangents at the ends of the radii is:

Q22: 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

Q23: If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm the length of each tangent is equal to

Q24: The tangents drawn at the extremities of the diameter of a circle are

Q25: Tangents from an external point to a circle are

Q26: A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm and length of the tangent drawn from P to the circle is x cm. The value of x =

Q27: The length of the tangent from an external point A on a circle with centre O is

Q28: If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then

Q29: The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

Q30: A line through point of contact and passing through centre of circle is known as

Q31: From a point X, the length of the tangent to a circle is 20 cm and the distance of X from the centre is 25 cm. The radius of the circle is

Q32: AB is a chord of the circle and AOC is its diameter such that angle ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to

Q33: If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is:

Q34: C (O, r1) and C(O, r2) are two concentric circles with r1 > r2 AB is a chord of C(O, r1) touching C(O, r,2) at C then

Q35: PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is

Q36: If TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to

Q37: If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to

Q38: Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 n cm2, then AB is equal to

Q39: A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q such that OQ = 12 cm. Length PQ is

Q40: The length of a tangent from a point A at a distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is:

Q41: Two circle touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB =

Q42: If a parallelogram circumscribes a circle, then it is a:

Q43: Number of tangents, that can be drawn to a circle, parallel to a given chord is

Q44: Two concentric circles are of radii 5 cm and 3 cm. The length of the chord of the larger circle which touches the smaller circle is:

Q45: The distance between two parallel tangents to a circle of radius 5 cm is​

Q46: From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

Q47: A tangent to a circle is a line that intersects the circle in

Q48: AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to

Q49: From a point X, the length of the tangent to a circle is 20 cm and the distance of X from the centre is 25 cm. The radius of the circle is

Q50: The length of tangents drawn from an external point to the circle