MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry
Which of the following is correct?
- i. the slope of the line is 1/2
- ii. the line makes an obtuse angle with the positive direction of the x-axis
- iii. the y-intercept of the line is 11 units
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 + 11: the slope is −2 (i false, not 1/2), negative so the angle is obtuse (ii true), and the y-intercept is 11 (iii true).
Why the other options are wrong
- a i and ii: i is false: the slope is −2, not 1/2 And iii is true: x = 0 gives y = 11
- b i and iii: i is false: the slope is −2, not 1/2 And ii is true: a negative slope gives an obtuse angle
- d i, ii and iii: i is false: the slope is −2, not 1/2 y = −2x + 11: the slope is −2 (i false, not 1/2), negative so the angle is obtuse (ii true), and the y-intercept is 11 (iii true).
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