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Q1. If four sides of a quadrilateral ABCD are tangential to a circle, then
(a) AC + AD = BD + CD
(b) AB + CD = BC + AD
(c) AB + CD = AC + BC
(d) AC + AD = BC + DB
(b) AB + CD = BC + AD
Q2. 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
(a) 60°
(b) 45°
(c) 30°
(d) 90°
(c) 30°
Q3. Number of tangents drawn at a point of the , circle is/are
(a) one
(b) two
(c) none
(d) infinite
(a) one
Q4. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is
(a) 2
(b) 4
(c) 1
(d) 3
(d) 3
Q5. In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:?
(a) 30cm
(b) 31cm
(c) 28cm
(d) 25cm
(a) 30cm
Q6. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80° then ?POA is equal to
(a) 50°
(b) 60°
(c) 70°
(d) 80°
(b) 60°
Q7. Segment joining the points of contact of two parallel tangents
(a) may or may not pass through the centre.
(b) will pass through the centre.
(c) will not pass through the centre.
(d) none of these
(c) will not pass through the centre.
Q8. 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
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm
(c) 6 cm
Q9. The length of tangents drawn from an external point to the circle
(a) are equal
(b) are not equal
(c) sometimes are equal
(d) are not defined
(a) are equal
Q10. 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
(a) 5 cm
(b) 9 cm
(c) 15 cm
(d) 23 cm
(c) 15 cm
Q11. If TP and TQ are two tangents to a circle with centre O so that ?POQ = 110°, then, ?PTQ is equal to
(a) 60°
(b) 70°
(c) 80°
(d) 90°
(b) 70°
Q12. Tangents from an external point to a circle are
(a) equal
(b) not equal
(c) parallel
(d) perpendicular
(a) equal
Q13. 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
(a) 5 cm
(b) 8 cm
(c) 10 cm
(d) 25 cm
(c) 10 cm
Q14. A line through point of contact and passing through centre of circle is known as
(a) tangent
(b) chord
(c) normal
(d) segment
(c) normal
Q15. 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
(a) v119 cm
(b) 13 cm
(c) 12 cm
(d) 8.5 cm
(a) v119 cm
Q16. 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
(a) 60 cm2
(b) 65 cm2
(c) 30 cm2
(d) 32.5 cm2
(a) 60 cm2
Q17. At point A on a diameter AB of a circle of radius 10 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY at a distance 16 cm from A is
(a) 8 cm
(b) 10 cm
(c) 16 cm
(d) 18 cm
(c) 16 cm
Q18. The tangents drawn at the extremities of the diameter of a circle are
(a) perpendicular
(b) parallel
(c) equal
(d) none of these
(b) parallel
Q19. The length of tangents drawn from an external point to the circle
(a) are equal
(b) are not equal
(c) sometimes are equal
(d) are not defined
(a) Explaination: Reason: Since the length of tangents drawn from an external point to a circle are equal.
Q20. Number of tangents drawn at a point of the circle is/are
(a) one
(b) two
(c) none
(d) infinite
(b) two
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