Gujarat BoardEnglish MediumSTD 10MathsCoordinate Geometry1 Mark
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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