To show that the points are collinear, we show that the area of triangle is equilateral = 0Δ = 0Δ = 1/2{x1(y2−y3) + x2(y3−y1) + x3(y1−y2)}⇒ Δ = 1/2{5(–1– 4) + 1 (4– 1) + 11 (1 + 1)}⇒ 1/2{–25 + 3 + 22}= 0Hence collinear

Q. 13 C5.0( 2 Votes )

Show that the fol

Class 10th RS Aggarwal - Mathematics 16. Coordinate Geometry

Answer :

To show that the points are collinear, we show that the area of triangle is equilateral = 0

Δ = 0

Δ = 1/2{x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)}

⇒ Δ = 1/2{5(–1– 4) + 1 (4– 1) + 11 (1 + 1)}

⇒ 1/2{–25 + 3 + 22}

= 0

Hence collinear

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