First slide

Equation of line in Straight lines

Question

The equation of a line through the point (1, 2) whose distance from the point (3, 1) has the greatest value is

Moderate

A

$y = 2 x$
B

$y = x + 1$
C

$x + 2 y = 5$
D

$y = 3 x - 1$

Solution

Obviously, the line through Q is at the greatest distance from point P when it is perpendicular to PQ.
Now, the slope of line PQ is $m_{P Q} = \frac{- 1}{2}$
Then the slope of perpendicular line passing through Q is
$\begin{aligned} y - 2 = 2 (x - 1) \\ or 2 x - y = 0 \end{aligned}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App