# Class 10

Explore popular questions from Circles for Class 10. This collection covers Circles previous year Class 10 questions hand picked by experienced teachers.

## Mathematics

Circles

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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:

A

{tex} 60 ^ { \circ } {/tex}

B

{tex} 75 ^ { \circ } {/tex}

C

{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}

B

100{tex} ^{\circ} {/tex}

C

120{tex} ^{\circ} {/tex}

D

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

B

{tex} \frac{4\sqrt{17}}{5} {/tex} cm

C

{tex} \frac{3\sqrt{17}}{5} {/tex} cm

D

{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.

A

25

B

35

45

D

55