Question

Yadi बिंदु [1, 2) (-1, x) और (2, 3) संरेख हो तो x का मान होगा

Answer 1

Answer:

Step-by-step explanation:

All three point are collinear (lie on the same line) ⇒ slope of segment between any two points is the same.

If A($x_{1}$, $y_{1}$), B($x_{2}$, $y_{2}$) , then

$m_{AB} = \frac{y_{2}-y_{1}}{x_{2} - x_{1}}$

~~~~~~~~~

$m = \frac{3-2}{2-1} = 1$

$1 = \frac{x-3}{-1-2} = \frac{x-3}{-3}$

x - 3 = - 3 ⇒ x = 0

The equation of line passing trough those three points (1, 2), (- 1, 0), (2, 3) is

y = x + 1