Coordinate Geometry Question 163

Question: If the point dividing internally the line segment joining the points (a, b) and (5, 7) in the ratio 2 : 1 be (4, 6), then

Options:

A) $ a=1,b=2 $

B) $ a=2,b=-4 $

C) $ a=2,b=4 $

D) $ a=-2,b=4 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{2\times 5+1(a)}{2+1}=4\Rightarrow a=2 $ and $ \frac{2\times 7+1(b)}{2+1}=6\Rightarrow b=4 $ .