Question 1 :
A circle divides the plane, on which it lies, in _____________ parts.
Question 2 :
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In the above figure, BC is a diameter of the circle and $\angle BAO=60^{\circ}$. Then $\angle ADC$ is equal to
Question 3 :
If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal. TRUE or FALSE?
Question 4 :
If two chords of a circle are equal, then their corresponding arcs are congruent. TRUE or FALSE?
Question 5 :
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In the above fig, segment PQ is the _________ of the circle.
Question 6 :
AC and BD are chords of a circle which bisect each other. AC and BD are ____________.
Question 7 :
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In the above fig, Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively. Is ∠ ACP = ∠ QCD?
Question 8 :
A point, whose distance from the centre of a circle is greater than its radius lies in _______________ of the circle.
Question 9 :
State whether the given statement is true or false:- Equal chords of a circle (or of congruent circles) subtend equal angles at the centre.
Question 11 :
Either pair of opposite angles of a cyclic quadrilateral are _____________.
Question 12 :
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In the above fig, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.
Question 13 :
Angles in the same segment of a circle are not necessarily equal. TRUE or FALSE?
Question 14 :
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Question 15 :
If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, state whether the two chords are non-parallel or not.
Question 16 :
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In the above figure, O is the centre of the circle, $\angle BCO=30^{\circ}$. Find x.
Question 17 :
A quadrilateral ABCD is called _________ if all the four vertices of it lie on a circle.
Question 18 :
ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Is AE = AD?
Question 19 :
On a common hypotenuse AB, two right triangles ACB and ADB are situated on opposite sides. Is $\angle BAC\ =\ \angle BDC$ ?
Question 20 :
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In the above figure, AOC is a diameter of the circle and arc AXB = $\frac{1}{2}$ arc BYC. Find $\angle BOC$.