The points (a,b), ;(c,d) and ( kc + la k + l , , kd + lb k + l ) … - Vidyadip

MCQ

The points $(a,b),\;(c,d)$ and $\left( {\frac{{kc + la}}{{k + l}},\,\frac{{kd + lb}}{{k + l}}} \right)$ are

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

✓

Answer

Correct option: D.

Collinear

d
(d) The given points are collinear because the point $\left( {\frac{{kc + la}}{{k + l}},\,\,\frac{{kd + lb}}{{k + l}}} \right)$

divides the points $(a, b)$ and $(c, d)$ in the ratio of $k : l$.

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