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10

Q1. A circle can pass through
3 collinear points
2 collinear points
3 non - collinear points
4 collinear points
Q2. The ___ at any point on the circle is perpendicular to the radius through the point of contact.
Radius
Secant
Tangent
None of these
Q3. A tangent to a circle is a line that intersects the circle in
2 points
3 points
4 points
Exactly one point.
Q4. The tangents drawn at the ends of a diameter of a circle are:
parallel
perpendicular
intersecting at a point inside the circle
intersecting at the centre of the circle
Q5. A circle may have…….
1 tangent 
2 tangent 
No tangent
Infinite tangents
Q6. From the given figure, ∠TPQ and ∠TOQ are 
Complementary angles
Supplementary angles
Equal angles
None of these
Q7. A line segment having its end points on the circle is called a
Secant
Chord
Tangent
Radius
Q8. What is the distance between two parallel tangents of a circle with radius 4 cm?
0
4
8
2
Q9. If two parallel tangents PQ and RS touch the circle C at A and B, respectively, then AB is the ___ of the circle.
Radius
Chord
Diameter
Secant
Q10. A circle can have ____ number of tangent/s.
One
Two
More than two
Infinite
Q11. If two parallel lines are intersected by a transversal such that the pair of ______ is not equal. 
Interior angles
Alternate angles
Alternate interior angles
Corresponding angles
Q12. Three circles with centres at P, Q and R touch each other externally such that PQ = 6 cm, PR = 8 cm and QR = 12 cm. Find the greatest radius. 
12 cm
13 cm
7 cm
5 cm
Q13. The number of tangents which can be drawn to a circle from a point lying outside it is 
Two
Infinite
Only one
Less than two
Q14. If the angle between two radii of a circle is 100o, then angle between the tangents at the ends of those radii is:
50o
60o
80o
90o
Q15. ____ drawn from the external point to a circle are equal in length. 
Secants
Tangents
Lines
None of these
Q16. Two tangents drawn from an external point are
parallel
Unequal in length
Equal in length
Perpendicular
Q17. If PQ = 4 cm and OQ = 5 cm, then find the radius of the tangent. 
6 cm
8 cm
3 cm
2 cm
Q18. From the given figure, ∠TPQ and ∠TOQ are 
Complementary angles
Supplementary angles
Equal angles
None of these
Q19. The radius of a circle is ____ to the tangent. 
Parallel
Coincides
Perpendicular
Both A and B
Q20. The angle between the tangent at a point on a circle and the radius at the point of contact is
45o
60o
90o
180o
Q21. In a right triangle ABC, right angled at B, BC = 15 cm, and AB = 8 cm. A circle is inscribed in triangle ABC. The radius of circle is :
1 cm
2 cm
3 cm
4 cm
Q22. A circle is inscribed in triangle ABC. If the tangents of a triangle are 4, 5, 7, respectively, then find the perimeter of the triangle. 
32
16
8
4
Q23. A circle is inscribed in triangle ABC. If the tangents of a triangle are 4, 5, 7, respectively, then find the perimeter of the triangle. 
32
16
8
4
Q24. A line that intersects a circle in exactly one point is called a
Chord
Diameter
Radius
Tangent
Q25. Which of the following is incorrect? 
RC = PB
DR = DS
CQ = CR
AP = AS
Q26. PT is a tangent from an external point P and PAB is a secant. If PT = 6 cm and PA = 3 cm, then the length of PB is ___
6
36
2
12
Q27. A circle C is inscribed in the quadrilateral ABCD. The quadrilateral ABCD can possibly be a
trapezium
parallelogram
rectangle
rhombus
Q28. A secant intersects a circle at _ points. 
1
2
more than 1
many
Q29. ____ drawn from the external point to a circle are equal in length.
Secants
Tangents
Lines
None of these
Q30. Number of tangents, that can be drawn to a circle, parallel to a given chord is
Infinite
Zero
3
2
Q31. Which of the following is correct? 
If a line and a circle do not have a point in common, then the line is outside the circle.
A line intersecting a circle at one point is called the Tangent of a Circle.
A line intersecting a circle at two points is called the secant of a circle.
All of these
Q32. A line that intersects a circle in two distinct points is called a
Chord
Secant
Tangent
Diameter
Q33. The distance between two parallel tangents to a circle of radius 5 cm is
10 cm
5 cm
8cm
9 cm
Q34. From a point Q, the length of the tangent to a circle is 13 cm and the distance of Q from the centre is 12 cm. So, the radius of the circle is 
7.5 cm
6 cm
5 cm
3 cm
Q35. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is
1
2
3
4
Q36. The angle between the tangent at a point on a circle and the radius at the point of contact is
90o
60o
180o
45o
Q37. The angle between two tangents drawn from an external point to a circle is 110o. The angle subtended at the centre by the segments joining the points of contact to the centre of circle is:
70o
110o
90o
55o
Q38. How many tangents can be drawn from an external point to a circle?
Infinite
Three
Two
One
Q39. The number of tangents which can be drawn to a circle from a point lying within is 
Zero
Infinite
Only one
Less than two
Q40. A tangent is a
Line which intersects a circle at two distinct points.
Line which does not intersect a circle.
Line which intersects exactly at one point.
None of these

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