If the vertices of a quadrilateral are A(– 2, 6), B(1,

Home » Aptitude » Algebra » Question

If the vertices of a quadrilateral are A(– 2, 6), B(1, 2), C(10, 4) and D(7, 8). Then the equation of diagonal AC will be ?

1. x + 6y = 34
2. x – 6y = 34
3. x + 2y = 1
4. x – y = 13

Correct Option: A

We know that, equation of line is

y − y₁	=	x − x₁
y₂ − y₁	=	x₂ − x₁

12y – 72 = –2x – 4
2x + 12y = –4 + 72
2x + 12y = 68
⇒ x + 6y = 34