The Human Eye and the Colourful World
Chemical Reactions and Equations
Control and Coordination
Metal and Non-Metals
How do Organisms Reproduce?
Magnetic Effects of Electric Current
Heredity and Evolution
Our Environment
Life Processes
Carbon and Its Compounds
Periodic Classification of Elements
Light – Reflection and Refraction
Electricity
Acids Bases and Salts
Sources of Energy
Sustainable Management of Natural Resources
Science

Statistics
Real Numbers
Some Applications of Trigonometry
Introduction to Trigonometry
Probability
Constructions
Areas Related to Circles
Circles
Arithmetic Progressions
Pair of Linear Equations in Two Variables
Quadratic Equations
Coordinate Geometry
Surface Areas and Volumes
Polynomials
Triangles
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:

{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

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