Important Questions of Circles Mathematics | Zigya
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    Mathematics : Circles

    Multiple Choice QuestionsShort Answer Type

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    301. TP and TQ are tangents which intersect each other at T. PQ is a chord of length 8 cm and radius is 5 cm. Find the length of TP.
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    302. In the given figure, PT and PQ are tangents to a circle with centre at O, touching it at T and Q. If ∠TPQ = 50°, find (i) ∠TBQ (ii) ∠TAQ.
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    303. In the given figure, AD is a diameter of a circle with centre at O and AB is a tangent at A. C is a point on the circle such that DC produced interesects the tangent at point B and ∠ABC = 50°. Find ∠AOC.
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    304. The radii of two concentric circles are r1 cm and r2 cm (rl > r2). AB is a diameter of the bigger circle and AP is a tangent to the smaller circle touching the smaller circle at P. Find the length BP.
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    305.

    The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (Fig. 10.103)

    (a) 4 cm    (b) 8 cm    (c) 3 cm    (d) 7 cm

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    306.

    Two concentric circle are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. (given in Fig.)

    (a) 6 cm    (b) 7.5 cm    (c) 8 cm    (d) 10 cm




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    307.



    In Fig., If AB = CD = 6 cm then the value of AD + BC is

    (a) 10 cm    (b) 12 cm    (c) 13 cm    (d) 14 cm

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    308.

    In Fig. 10.106, the value of ∠POQ is
    (a) 110°    (b) 140°    (c) 100°    (d) 120°

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    309.



    In Fig. 10.107, If AC = 4 cm, AB = 5 cm and BC = 6 cm then the value of AD is

    (a) 7.5 cm    (b) 6.5 cm    (c) 8.5 cm    (d) 9 cm

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    310.

    In Fig. , If AQ = 5 cm then the perimeter of ΔABC is

    (a) 8 cm    (b) 6 cm    (c) 9 cm    (d) 10 cm

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