30
Minutes
50
Questions
1 / -0
Marking
Q1. A circle has a number of tangents equal to
0
1
2
Infinite
Q2. The length of tangent from an external point P on a circle with centre O is
always greater than OP
equal to OP
always less than OP
information insufficient
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
3 cm
6 cm
9 cm
1 cm
Q4. The distance between two parallel tangents of acircle of radius 4 cm is
2 cm
4 cm
6 cm
8 cm
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
5 cm
9 cm
15 cm
23 cm
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
60 cm2
65 cm2
30 cm2
32.5 cm2
Q7. In the given figure, PA and PB are tangents from P to a circle with centre O. If ∠AOB = 130°, then find ∠APB.
40°
55°
50°
60°
Q8. A tangent intersects the circle at:
One point
Two distinct point
At the circle
None of the above
Q9. If angle between two tangents drawn from a point P to a circle of radius ‘a’and centre ‘O’ is 90°, then OP =
2a√2
a√2
a/√2
5a√2
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
60 cm²
65 cm²
30 cm²
32.5 cm²
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
5 cm
9 cm
15 cm
23 cm
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
45°
30°
60°
35°
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.
5 cm
4 cm
6 cm
4.5 cm
Q14. A circle can have _____parallel tangents at a single time.
One
Two
Three
Four
Q15. The length of tangent from an external point on a circle is
always greater than the radius of the circle.
always less than the radius of the circle.
may or may not be greater than the radius of circle
None of these.
...and 35 more challenging questions available in the interactive simulator.