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Q.

For which of the following figures, diagonals are perpendicular to each other?

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a

Parallelogram

b

Kite

c

Trapezium

d

Rectangle

answer is B.

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Detailed Solution

Here, we are given four quadrilaterals in the options and we have to choose the quadrilateral in which the diagonals are perpendicular to each other, or in other words, the diagonals intersect at right angles.
So, of all the known quadrilaterals, there are only two such quadrilaterals which hold this property of diagonals being perpendicular, viz., a rhombus and a kite.
Now, as rhombus is not listed in the options, so kite is the quadrilateral in which the diagonals are perpendicular to each other.
Hence, the correct option is (2).

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