If line joining (1, 2) and (5, 7) is parallel to line joining (3,… - Vidyadip

MCQ

If line joining $(1, 2)$ and $(5, 7)$ is parallel to line joining $(3, 4)$ and $(11, x):$

A
$10$
B
$11$
C
$12$
✓
$14$

✓

Answer

Correct option: D.

$14$

We know, slope of line joining two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\frac{(\text{y}_{2}- \text{y}_{1})}{(\text{x}_{2}-\text{x}_{1})}$
Lines are parallel means slope is equal
$\Rightarrow\frac{(\text{x}-4)}{(11-3)} = \frac{(7-2)}{(5-1)}$
$\Rightarrow \text{x}-4 = \frac{5\times8}{4} = 10$
$\Rightarrow x = 14$

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