Four points whose co-ordinates are (2, 1), (1, 4), (4, 5), (5, 2) form :

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9.Straight Line

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The four points whose co-ordinates are $(2, 1), (1, 4), (4, 5), (5, 2)$ form :

A

a rectangle which is not a square

B

a trapezium which is not a parallelogram

C

a square

D

a rhombus which is not a square.

Solution

$A(2, 1), B (1, 4), C(4, 5), D(5, 2)$

$AB = BC = CD = DA =\sqrt{10}$

also $AC \bot BD$

i.e. $m_{AC}\, \times\, m_{BD} = -1$

and $AC = BD$

Standard 11

Mathematics

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