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

Chattogram Board 2023

If the lines through (2, 3) and (t, 5) have slope −2, what is t?

Think it through first, then pick an option.

  1. a 3
  2. b 2
  3. c 1
  4. d −1
Answer and explanation

Correct answer: c 1

(5 − 3)/(t − 2) = −2 gives t − 2 = −1, so t = 1.

Why the other options are wrong

  • a 3: (5 − 3)/(t − 2) = −2 gives t − 2 = −1, so t = 1. So 3 is not the answer.
  • b 2: (5 − 3)/(t − 2) = −2 gives t − 2 = −1, so t = 1. So 2 is not the answer.
  • d −1: For t = −1 the slope is 2/(−3) = −2/3, not −2.