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Q.

Diagonals of a quadrilateral bisect each other at right angles, then the given quadrilateral is


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a

Trapezium

b

Parallelogram

c

Rectangle

d

Rhombus 

answer is D.

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Detailed Solution

For the diagonals of a quadrilateral to bisect each other at right angle, basic requirement is that the quadrilateral should have sides of equal length.
Among the given options the only quadrilateral that has equal sides is the rhombus.
Hence, option 4 is the correct choice.
 
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Diagonals of a quadrilateral bisect each other at right angles, then the given quadrilateral is