CBSE: 10th Class Sample Test Paper - 2011

Circle
Section A. 1 Mark Each

Q.1 if a line segment, having its end point on a circle, is known as
(a) Chord
(b) Secant
(c) Tangent
(d) none of these

Q.2 number of tangents that can be drawn through a point which is inside the circle is
(a) 3
(b) 2
(c) 1
(d) 0

Q.3 A line through point of contact and passing through centre of circle is known as
(a) tangent
(b) Chord
(c) normal
(d) segment

Q.4 A circle is inscribed in a triangle with sides 3, 4 and 5 cm. The radius of the circle is
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) none of these

Q.5 Distance between two parallel lines is 10 cm. The radius of circle which will touch both two lines is
(a) 5cm
(b) 7 cm
(c ) 12 cm
(d) None of these

Section B. 2 Mark Each

Q.6 In figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 12 cm, and BC = 8cm, then find the length of BR

.

Q.7 In figure AB is a chord of the circle and AOC is its diameter such that ﮮABC =50⁰ . If AT is the tangent to the circle at the point A, find ﮮBAT

Q.8 Two tangents PA and PB are drawn to the circle with centre, such that ﮮAPB =1200 . Prove that OP = 2 AP.

Section c 3 Mark Each

Q.11 The tangent at a point C of a circle and a diameter AB when extended intersect at P. IfﮮPCA 110⁰ , find ﮮCBA.

Q.12 In the figure. X.Y. are two parallel tangents to a circle with Centre O and another tangent AB with point of contact C intersecting XY at A and X.Y. at B. Prove that ﮮAOB 90⁰.