If two diameters of a circle intersect each other at right angles, the

1.	If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a A. Rhombus B. Rectangle C. Parallelogram D. Square
Answer» Option : (D) Let AB and CD are two diameters of circle ∠AOD = ∠BOD = ∠BOC = ∠AOC = 90° AB and CD are diagonals of quadrilateral ABCD They intersect each other at right angles And, AB = BC = CD = DA We know that, Sides of a square are equal and diagonals intersect at 90° Therefore, ABCD is a square

If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a A. Rhombus B. Rectangle C. Parallelogram D. Square

Answer»

Option : (D)

Let AB and CD are two diameters of circle

∠AOD = ∠BOD = ∠BOC = ∠AOC = 90°

AB and CD are diagonals of quadrilateral ABCD

They intersect each other at right angles

And,

AB = BC = CD = DA

We know that,

Sides of a square are equal and diagonals intersect at 90°

Therefore,

ABCD is a square

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If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a A. Rhombus B. Rectangle C. Parallelogram D. Square

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