Geometryhard · Past Paper
The points (a, b+c), (b, c+a), and (c, a+b) are:
AVertices of a triangle
BCollinear
CConcyclic
DNone of these
✓ Correct Answer: B — Collinear
Area calculation: 0.5 |a(c+a-a-b) + b(a+b-b-c) + c(b+c-c-a)| = 0.5 |a(c-b) + b(a-c) + c(b-a)| = 0.5 |ac-ab+ba-bc+cb-ca| = 0. Thus collinear.
Share this question
More from Geometry
- Find the reflection of the point (2, 3) in the X-axis.
- The interior angles of a pentagon sum up to:
- Find the value of p if the points (1, 1), (2, 3), and (3, p) are collinear.
- Two circles touch internally. Their radii are 10 cm and 4 cm. What is the distance between their centers?
- Calculate the sum of the interior angles of a decagon.