Question 1 :
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In the above fig, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Find ∠ AEB.
Question 2 :
The distance of a line from a given point is found out by calculting the length of the perpendicular from the point to the line. TRUE or FALSE?
Question 3 :
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In the above figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD respectively. If $\angle POQ=150^{\circ}$, then $\angle APQ$ is equal to
Question 4 :
AB and AC are two equal chords of a circle. State whether the bisector of the angle BAC passes through the centre of the circle or not.
Question 5 :
If two chords of a circle are equal, then their corresponding arcs are congruent. TRUE or FALSE?
Question 6 :
State whether the given statement is true or false:- Angles in the same segment of a circle are equal.
Question 7 :
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In the above fig, ∠ PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.
Question 8 :
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In the above figure, AOC is a diameter of the circle and arc AXB = $\frac{1}{2}$ arc BYC. Find $\angle BOC$.
Question 9 :
Two chords AB and AC of a circle subtends angles equal to $90^{\circ}$ and $150^{\circ}$, respectively at the centre. Find $\angle BAC$, if AB and AC lie on the opposite sides of the centre.
Question 10 :
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In the above figure, O is the centre of the circle, $\angle BCO=30^{\circ}$. Find y.