The points (3a, 0), , (0, 3b) and (a, 2b) are - Vidyadip

MCQ

The points $(3a, 0),\, (0, 3b)$ and $(a, 2b)$ are

A
Vertices of an equilateral triangle
B
Vertices of an isosceles triangle
C
Vertices of a right angled isosceles triangle
✓
Collinear

✓

Answer

Correct option: D.

Collinear

d
(d) ${l_1} = \sqrt {{{(3a)}^2} + {{(3b)}^2}} = 3\sqrt {{a^2} + {b^2}} $

${l_2} = \sqrt {{a^2} + {b^2}} = \sqrt {{a^2} + {b^2}} $

${l_3} = \sqrt {{{(2a)}^2} + {{(2b)}^2}} = 2\sqrt {{a^2} + {b^2}} $

$ \Rightarrow \,\,{l_1} = {l_2} + {l_3}$

Hence the points are collinear.

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