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MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry

Jashore Board 2023

For the three points A(−3, 3), B(−3, −3) and C(3, 3), which of the following is correct?

  1. i. The slope of AC is 0
  2. ii. The equation of the line BC is y = x
  3. iii. A, B and C are collinear

Think it through first, then pick an option.

  1. a i and ii
  2. b i and iii
  3. c ii and iii
  4. d i, ii and iii
Answer and explanation

Correct answer: a i and ii

i is true: AC has equal ordinates, slope 0; ii is true: BC passes through the origin with slope 1, so y = x; iii is false: AB and AC have different slopes.

Why the other options are wrong

  • b i and iii: ii is true: the slope is (3 + 3)/(3 + 3) = 1 and (3, 3) is on it; y = x And iii is false: AB is vertical (x = −3) and AC horizontal; not collinear
  • c ii and iii: i is true: A(−3, 3) and C(3, 3) have equal ordinates, so the slope is 0 And iii is false: AB is vertical (x = −3) and AC horizontal; not collinear
  • d i, ii and iii: iii is false: AB is vertical (x = −3) and AC horizontal; not collinear