Two Variables, One Line Class 9 MCQ Online Test, Set 1 (with Solutions)

Two Variables, One Line: Practice Set 1

13 questions: MCQs, assertion–reason and a case study
Time: 15 minutes (submits by itself when time is up)
+1 for each correct answer, no negative marking
After submitting: score, correct answers and a full solution for every question

The slope of y = −4x + 7

(a) 7(b) −4(c) 4(d) −7

Lines with equal slopes and different intercepts are

(a) coincident(b) parallel(c) intersecting(d) perpendicular

Which of these is a solution of \(x + 2y = 8\)?

(a) \((2, 2)\)(b) \((2, 3)\)(c) \((4, 1)\)(d) \((0, 3)\)

A linear equation in two variables has

(a) one solution(b) two(c) none(d) infinitely many solutions

2x + 3y = 6 cuts the y-axis at

(a) (0, 2)(b) (3, 0)(c) (0, 3)(d) (2, 0)

x + 2y = 3 and 2x + 4y = 7 are

(a) intersecting(b) coincident(c) parallel(d) perpendicular

Which point lies on 3x − y = 5?

(a) (1, 2)(b) (2, 1)(c) (0, 5)(d) (1, −1)

The graph of a linear equation in two variables is a

(a) circle(b) straight line(c) parabola(d) point

9Assertion–Reason

Assertion (A): (1, 1) is a solution of \(x + y = 2\).
Reason (R): Substituting x = 1 and y = 1 makes both sides equal.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).(c) Assertion (A) is true but Reason (R) is false.(d) Assertion (A) is false but Reason (R) is true.

10Assertion–Reason

Assertion (A): x − y = 10 and 10x − 10y = 101 have no solution.
Reason (R): \(\frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \frac{c_1}{c_2}\).

Case study

A taxi company charges ₹40 for the first kilometre and ₹15 for each additional kilometre. Let the total distance be x km (x ≥ 1) and the fare be ₹y.

The fare is given by

(a) \(y = 40x + 15\)(b) \(y = 40 + 15(x - 1)\)(c) \(y = 15x\)(d) \(y = 55x\)

The fare for 10 km is

(a) ₹190(b) ₹150(c) ₹175(d) ₹550

The graph of fare against distance is a

(a) curve(b) circle(c) set of scattered points(d) straight line