MCQ
The four points whose co-ordinates are $(2, 1), (1, 4), (4, 5), (5, 2)$ form :
- Aa rectangle which is not a square
- Ba trapezium which is not a parallelogram
- ✓a square
- Da rhombus which is not a square.
✓
Answer
Correct option: C.
a square
c
$A(2, 1), B (1, 4), C(4, 5), D(5, 2)$
$A(2, 1), B (1, 4), C(4, 5), D(5, 2)$
$AB = BC = CD = DA =\sqrt{10}$
also $AC \bot BD$
i.e. $m_{AC}\, \times\, m_{BD} = -1$
and $AC = BD$
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