question_answer

The ratio in which the line joining points (a + b, b + a) and (a - b, b - a) is divided by point (a, b) is _____                     

A)  \[b:a\] internally            

B)  \[1:1\]internally

C)  \[a:b\] internally            

D)  \[2:1\]internally

Correct Answer: B

Solution :

(b): \[a=\frac{K(a-b)+a+b}{K+1}\] \[\Rightarrow \]\[Ka+a=Ka-Kb+a+b\] \[\Rightarrow \]\[Kb=b\] \[\Rightarrow \] \[K=1:1\]