Question

The three lines 3x + 4y + 6 = 0, $\sqrt{2}x+\sqrt{3}y+2\sqrt{2}=0$ and 4x + 7y + 8 = 0 are

• A. sides of a triangle
• B. concurrent
• C. parallel
• D. None of these

Answer 1

The correct option is B

concurrent

Given lines are

3x + 4y + 6 = 0 …… (1)

$\sqrt{2}x+\sqrt{3}y+2\sqrt{2}=0$ …… (2)

and 4x + 7y + 8 = 0 …… (3)

Lines (1) and (2) intersect at the point (–2, 0).

Since the point (–2, 0) also satisfies the equation (3),

Therefore, the three lines are concurrent.