Question

show that the given points are collinear:(3,-1),(7,3),(1,-3)​

Answer 1

Step-by-step explanation:

To Show :-

• (3,-1), (7,3), (1,-3) are collinear

As we know that :-

If the points are collinear then,

• x1(y2-y3) + x2(y3-y1) + x3(y1-y2) = 0

Here,

(3,-1) = (x1, y1)

(7,3) = (x2, y2)

(1,-3) = (x3, y3)

Now,

⇝3(3+3) + 7(-3+1) + 1(-1-3) = 0

⇝3(6) + 7(-2) + 1(-4) = 0

⇝18 - 14 - 4 = 0

⇝18 - 18 = 0

⇝0 = 0

LHS = RHS

Hence,

Proved that (3,-1), (7,3), (1,-3) points are collinear.