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Q 1. If the length of a chord of a circle is equal to its radius, then the angle subtended by it at the minor arc of the circle will be:
{tex} 60 ^ { \circ } {/tex}
{tex} 75 ^ { \circ } {/tex}
{tex} 120 ^ { \circ } {/tex}
{tex} 150 ^ { \circ } {/tex}
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Q 2. In the diagram,AB is diameter, O is the centre of the circle and {tex} \angle {/tex}OCB = 50{tex} ^{\circ} {/tex}, then find {tex} \angle {/tex}DBC.
90{tex} ^{\circ} {/tex}
100{tex} ^{\circ} {/tex}
120{tex} ^{\circ} {/tex}
140{tex} ^{\circ} {/tex}
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Q 3. AB and CD are two chords of a circle such that AB = 8 cm, CD = 10 cm and AB || CD. If the perpendicular distance between AB and CD is 2 cm, then what is the radius of the circle equal to?
{tex} \frac{5\sqrt{17}}{4} {/tex} cm
{tex} \frac{4\sqrt{17}}{5} {/tex} cm
{tex} \frac{3\sqrt{17}}{5} {/tex} cm
{tex} \sqrt{17} {/tex} cm
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Q 4. In the diagram, PQ and QR are tangents to the circle with centre O, at P and R respectively. Find the value of x.
25
35
45
55