Question

The ratio in which the point $P$. whose abscissa is $3$, divides the join of $A(6,5)$ and $B(-1,4)$ is equal to______

• A. $3:4$
• B. $4:3$
• C. $3:2$
• D. $2:3$

Answer 1

Answer: (A)

Let the point $P$ where abscissa is $3$, divides the join of points $A(6,5)$ and
$B(-1,4)$ is $\lambda :1$, then
$3=\frac{-\lambda +6}{\lambda +1}$
$\Rightarrow 3\lambda +3=-\lambda +6$
$\Rightarrow 4\lambda =3$
$\Rightarrow \lambda :l=3:4$