MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry
About the line 3y = 6x − 2, which of the following is correct?
- i. the slope is 6
- ii. the y-intercept is −2/3
- iii. the angle with the positive direction of the x-axis is acute
Think it through first, then pick an option.
- a i and ii
- b i and iii
- c ii and iii
- d i, ii and iii
Answer and explanation
Correct answer: c ii and iii
y = 2x − 2/3: the slope is 2 (i false, not 6); the y-intercept is −2/3 (ii true); the slope is positive, so the angle is acute (iii true).
Why the other options are wrong
- a i and ii: i is false: the slope is 2, not 6 And iii is true: the slope is positive
- b i and iii: i is false: the slope is 2, not 6 And ii is true: y = 2x − 2/3
- d i, ii and iii: i is false: the slope is 2, not 6 y = 2x − 2/3: the slope is 2 (i false, not 6); the y-intercept is −2/3 (ii true); the slope is positive, so the angle is acute (iii true).
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