12 questions · timed · auto-graded
| A | B |
| Q.1. The opposite angles of a cyclic quadrilateral are ....... | (a) greater |
| Q.2. The length of the tangent drawn from the exterior point P of the circle with centre O is always ....... than OP. | (b) smaller |
| (c) Supplementary |
| A | B |
| Q.1. The parallelogram circum scribing the circle is a ....... | (a) Supplementary |
| Q.2. A quadrilateral is drawn to circumscribe a circle. The angles formed by opposite sides of a quadrilateral at the centre of the circle are to each other. | (b) Rhombus |
| (c) complementary |
| A | B |
| Q.1. In $\triangle ABC , AB =3, BC =4$ and $AC =5$ The radius of circle touching all three sides of $\triangle ABC$ is | (a) 2 |
| Q.2. The lengths of tangents drawn from an external point to a circle are ........ | (b) Equal |
| (c) 1 |
| A | B |
| Q.1. In a right angle triangle, the circumradius is ......... of its hypotenuse. | (a) Twice |
| Q.2. The circumcentre of a right angle triangle is .......... | (b) half |
| (c) midpoint of the hypotenuse |
| A | B |
| Q.1. The circle touching all three sides of a triangle is called .......... | (a) Twice |
| Q.2. In a right angle triangle, the length of the hypotenuse is ......... of its circumradius. | (b) circumcircle |
| (c) Incircle |
| A | B |
| Q.1. From an exterior point of the circle at most ...... tangents can be drawn to the circles. | (a) complement of each other |
| Q.2. The angle between the tangents drawn from the exterior point of the circle and the angle between the radii drawn at the point of contact are………….. | (b) Supplement of each other |
| (c) Two |
| A | B |
| Q.1. The distance of each tangent to the circle from the centre is equal to the ........ of thecircle. | (a) chord |
| Q.2. The distance of each point of the tangent from the centre of the circle is ………... than the distance of point of contact of the tangent from the centre of the circle | (b) radius |
| (c) more |
| A | B |
| Q.1. There are at most ..........tangents parallel to the secant of the circle. | (a) chord |
| Q.2. A line intersects in two points of the circle is called ........ | (b) secant |
| (c) Two |
| A | B |
| Q.1. ......... tangent / tangents is/are drawn to the circle at any point of the circle. | (a) One |
| Q.2. A circle has ......... tangents. | (b) Two |
| (c) Infinite |
| A | B |
| Q.1. The chord of a circle has length equal to the radius The distance of this chord from the centre is .......... | (a) $\frac{\sqrt{3} r}{2}$ |
| Q.2. A line that intersects the circle at only one point and lying in the plane of the circle is called ......... | (b) tangent |
| (c) secant |
| A | B |
| Q.1. Two distinct circles intersect in ......... points. | (a) At most one |
| Q.2. In a circle with radius r the distance of a chord whose length is twice the radius from the centre of the circle is ........ | (b) At most two |
| (c) $0$ |
| A | B |
| Q.1. The diameter is the largest ......... of the circle. | (a) chord |
| Q.2. The radius of the circle is ..... the diameter of the circle. | (b) radius |
| (c) half |