Practice30Create account

Which set of points forms a right-angled triangle?

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • A(0, 0), (2, 1), (3, 3)
  • B(1, 1), (2, 3), (4, 2)
  • C(0, 0), (1, 3), (4, 1)
  • D(1, 0), (3, 2), (0, 4)

Step-by-Step Solution

For (1, 1), (2, 3), (4, 2): squared sides 5, 5 and 10, and 5 + 5 = 10. The other sets give 5, 5, 18; 10, 13, 17; 8, 13, 17 — none satisfies Pythagoras.
Answer: B) (1, 1), (2, 3), (4, 2)

Master this chapter in 30 minutes a day.

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

Practice 5 Similar Questions Free →

All Classifying Shapes by Coordinates practice questions

More Class 10 Classifying Shapes by Coordinates practice

A rectangular garden has corners (1, 1), (7, 1), (7, 9) and (1, 9) in metres. A circular…Ramesh fences a plot with corners P(2, 1), Q(10, 1), R(10, 7) and S(2, 7), in metres, at…Triangle ABP has A(0, 0) and B(4, 0) and is right-angled and isosceles with the right…The points A(−4, −1), B(−2, −4), C(4, 0) and D(2, 3) form a rectangle. Find its area.In the triangle with vertices A(7, 10), B(−2, 5) and C(3, −4), how long is the longest…