Practice30Create account

For what value of k are the points (1, 2), (3, k) and (5, 8) collinear?

Competition practiceGeometry
  • A5
  • B4
  • C6
  • D3

Step-by-Step Solution

For collinear points the area of the triangle is 0: |1(k − 8) + 3(8 − 2) + 5(2 − k)| = 0 ⇒ |−4k + 20| = 0 ⇒ k = 5.
Answer: A) 5

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

The areas of two similar triangles are 81 cm² and 49 cm². If a side of the larger…Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger…The length of the tangent drawn to a circle of radius 5 cm from a point 13 cm from its…The area of the triangle with vertices (1, 1), (4, 1) and (1, 5) is:An angle measures 125°. What type of angle is it?