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Which quadrilaterals are cyclic (cyclic parallelogram is a rectangle, cyclic trapezium is isosceles)

This type of question, asked 2 times: CDS 2 2019, CDS 2 2022. All 3 questions below, oldest first.

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  1. Question 1

    CDS 2 2019

    85
    Consider the following statements : 1. An isosceles trapezium is always cyclic. 2. Any cyclic parallelogram is a rectangle. Which of the above statements is/are correct ?

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  2. Question 2

    CDS 2 2022

    98
    ABCD is a trapezium in which AB is parallel to DC. The vertices A, B, C and D pass through a circle. Which of the following are correct ? 1. AD = BC 2. ∠A+∠C=180∘\angle A + \angle C = 180^\circ 3. ∠A+∠D=180∘\angle A + \angle D = 180^\circ Select the correct answer using the code given below :

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  3. Question 3

    CDS 2 2022

    97
    Consider the following statements : 1. In an equilateral triangle, the centroid and centre of circumcircle coincide. 2. Angle bisectors of a cyclic quadrilateral form another cyclic quadrilateral. 3. Every cyclic parallelogram is a rectangle. Which of the statements given above are correct ?

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