MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry
If the lines 2y = x/k + 3 and 5y − 10x + 8 = 0 are parallel, what is k?
Think it through first, then pick an option.
- a −1
- b −1/4
- c 1/4
- d 1
Answer and explanation
Correct answer: c 1/4
The first line has slope 1/(2k) and the second 2; for parallel lines 1/(2k) = 2, so k = 1/4.
Why the other options are wrong
- a −1: The first line has slope 1/(2k) and the second 2; for parallel lines 1/(2k) = 2, so k = 1/4. So −1 is not the answer.
- b −1/4: For −1/4 the slope is −2, the opposite sign of the second line; parallel lines have equal slopes.
- d 1: The first line has slope 1/(2k) and the second 2; for parallel lines 1/(2k) = 2, so k = 1/4. So 1 is not the answer.
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