Question

The points A, B and C, whose coordinates are (–2, 0), (0, 0) and (3, 0) respectively, are

• A.
  Collinear
• B.
  The vertices of an equilateral triangle
• C.
  The vertices of an isosceles triangle
• D.
  The vertices of a scalene triangle

Answer 1

The correct option is A

Collinear
Using distance formula,
$AB=\sqrt{(0+2{)}^2+(0-0{)}^2}=2unitsBC=\sqrt{(3-0{)}^2+(0-0{)}^2}=3unitsAC=\sqrt{(3+2{)}^2+(0-0{)}^2}=5unitsHere,AB+BC=AC$



Therefore, A, B and C are collinear points.

Hence, the correct answer is option (a).