MCQ
The ratio in which the $x-$axis divides the line segment joining $A(3,6)$ and $B(12,-3)$ is
  • $2: 1$
  • B
    $1: 2$
  • C
    $-2: 1$
  • D
    $1:-2$

Answer

Correct option: A.
$2: 1$
Let the $x-$axis divides the join of $A(3,6)$ and $B(12,-3)$ in the ratio $k: 1$.
$\therefore \frac{-3 k+6}{k+1}=0 [\because$  At  $x-$axis, ordinate must be $0]$
$\Rightarrow k=\frac{-6}{-3}$
$\Rightarrow k=\frac{2}{1}$ 
i.e.,  $2: 1$

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