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UPSC CDS Math Set Theory Questions
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Question : 10
Total: 14
Let A denote the set of quadrilaterals having two diagonals equal and bisecting each other. Let B denote the set of quadrilaterals having diagonals bisecting each other at 90°. Then A∩ B denotes
[2015 CDS-II]
the set of parallelograms
the set of rhombuses
the set of squares
the set of rectangles
Validate
Solution:
Remember:
The diagonals of the square and rectangle are equal and bisect each other
A = {Square, Rectangle}
The diagonals of square and rhombus bisect each other at 90°
B = {Square, Rhombus}
∴ A ∩ B={Square}
Thus, A∩B denotes the set of squares.
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