Coordinate Geometry Question 26
Question: The points $ (a,b),\ (c,d) $ and $ ( \frac{kc+la}{k+l},\frac{kd+lb}{k+l} ) $ are
Options:
A) Vertices of an equilateral triangle
B) Vertices of an isosceles triangle
C) Vertices of a right angled triangle
D) Collinear
Show Answer
Answer:
Correct Answer: D
Solution:
The given points are collinear because the point $ ( \frac{kc+la}{k+l},\frac{kd+lb}{k+l} ) $ divides the points (a, b) and (c, d) in the ratio of k : l.
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