First slide

Equation of line in Straight lines

Question

Consider the set of all lines $p x + q y + r = 0$ such that $3 p + 2 q + 4 r = 0$ . Which one of the following statement is true?

Moderate

A

The lines are not concurrent
B

The lines are concurrent at the point $(\frac{3}{4}, \frac{1}{2})$
C

The lines are all parallel
D

Each line passes through the origin

Solution

Given lines are $p x + q y + r = 0$ …….. (1) & $3 p + 2 q + 4 r = 0$ ………… (2)
$∴ (2)$ can be written as $\frac{3}{4} p + \frac{q}{2} + r = 0$ …….. (3)
From (1) and (3) $x = \frac{3}{4}, y = \frac{1}{2}$

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