First slide

Equation of line in Straight lines

Question

The straight lines x + y = 0,3x + y = 0, and x + 3y - 4 = 0 form a triangle which is

Easy

A

isosceles
B

equilateral
C

right-angled
D

None of these

Solution

Solving the given equations of lines pairwise, we get the vertices of triangle as A(1,2), B(2, -2), C(1,1). Then,
$\begin{aligned} A B = \sqrt{16 + 16} = 4 \sqrt{2} \\ B C = \sqrt{1 + 9} = \sqrt{10} \\ C A = \sqrt{9 + 1} = \sqrt{10} \end{aligned}$
Hence, the triangle is isosceles.

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