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In the given figure, O is the centre of the circle and ∠DAB = 50° . Calculate the values of xand y.

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The bisects of exterior angle at B and C of ΔABC meet at O. If ∠A = x°, then ∠BOC =
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In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC.

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In the given figure, if ABC is an equilateral triangle. Find ∠BDC and ∠BEC.

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In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.

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In ΔRST (See figure), what is the value of x?

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If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is
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The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is
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If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =
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A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is
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One chord of a circle is known to be 10 cm. The radius of this circle must be
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ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with Aas centre and AC as radius. The length of the chord of this circle passing through C and B is
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If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, than ∠AOB =
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An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ∠BOCis
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PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.
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If PQRS is a square, then write the measure of ∠SRP.
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The greatest chord of a circle is called its
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If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
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Number of circles that can be drawn through three non-collinear points is
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In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x + y =
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