MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry
If the slope of the line through Q and R is 1/2, what is the value of a?
Think it through first, then pick an option.
- a −5
- b −3
- c −2
- d 0
Answer and explanation
Correct answer: a −5
Q(−1, 5), R(a, 3): (3 − 5)/(a + 1) = 1/2, so a + 1 = −4 and a = −5.
Why the other options are wrong
- b −3: For a = −3 the slope is −2/(−2) = 1, not 1/2.
- c −2: Q(−1, 5), R(a, 3): (3 − 5)/(a + 1) = 1/2, so a + 1 = −4 and a = −5. So −2 is not the answer.
- d 0: Q(−1, 5), R(a, 3): (3 − 5)/(a + 1) = 1/2, so a + 1 = −4 and a = −5. So 0 is not the answer.
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