Self Studies

Circles Test - ...

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  • Question 1
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    In a circle of radius 17cm two parallel chords of the length 30cm and 16cm respectively are drawn on the opposite sides of the centre. Then  the distance between them  is

  • Question 2
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    In the given circle with centre $$'O'$$, the mid points of two equal chords $$AB$$ & $$CD$$ are $$K$$ & $$L$$, respectively. If $$\angle$$ $$OLK =$$ $$25^{\circ}$$, Then $$\angle$$ $$LKB$$ is equal to:

  • Question 3
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    In a circle of radius $$13$$cm, $$PQ$$ and $$RS$$ are two parallel chords of length $$24$$cm and l0cm respectively. The chords are on the same side of the centre then the distance between the chords  is?

  • Question 4
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    $$ABCD$$ is a cyclic quadrilateral. If $$\angle  A-\angle C=30^{\circ}$$, then $$ \angle  C =$$?

  • Question 5
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    Find the four angles of a cyclic quadrilateral ABCD in which $$\angle A=(2x-1)^o, \angle B=(y+5)^o, \angle C=(2y+15)^o$$ and $$\angle D(4x-7)^o$$

  • Question 6
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    In the given figure, $$POQ$$ is the diameter of the circle with center $$O$$. Quadrilateral $$ PQRS$$ is a cyclic quadrilateral and $$SQ$$ is joined. If $$\angle R = 138^\circ$$, then $$m\angle PQS$$ is:

  • Question 7
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    In the given figure, $$ABCD$$ is a cyclic quadrilateral in which $$\angle BAD = 120^o$$. Then $$m\angle BCD$$ is:

  • Question 8
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    In the given figure, if $$\angle AOC=110^o$$, then the values of $$\angle D$$ and $$\angle B$$, respectively are:

  • Question 9
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    $$ ABCD$$ is a cyclic quadrilateral, then the angles of the quadrilateral in the same order are:

  • Question 10
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    In the figure, $$\angle BAD = 70^{\circ}$$, $$\angle ABD = 56^{\circ}$$ and $$\angle ADC = 72^{\circ}$$.

     Calculate (i) $$\angle BDC$$ (ii) $$\angle BCD$$ (iii) $$\angle CBD$$.

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