NCERT MCQs For Class-9 Chapter-4 Linear Equation in Two Variables | EduGrown
NCERT MCQs For Class-9 Chapter-4 Linear Equation in Two Variables
1. The linear equation 4x – 10y = 14 has:
a) A unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
Answer: (c)
2. Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16:
a) 0
b) 1
c) 2
d) Infinite
Answer: (d)
3. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:
a) 4
b) 6
c) 5
d) 2
Answer: (a)
4. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
a) (2, 0)
b) (0, 3)
c) (3, 0)
d) (0, 2)
Answer: (d)
5. The equation y = 5, in two variables, can be written as:
a) 1 .x + 1 .y = 5
b) 0 .x + 0 .y = 5
c) 1 .x + 0 .y = 5
d)0 .x + 1 .y = 5
Answer: (d)
6. Any point on the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)
Answer: (d)
7. The graph of x = 5 is a line:
a) Parallel to x-axis at a distance 5 units from the origin
b) Parallel to y-axis at a distance 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis
Answer: (b)
8. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17
b) x + y = 17
c) x + 2y = 17
d) 3x – 2y = 17
Answer: (c)
9. Any point on the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)
Answer: (b)
10. If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
a)y – x = 0
b)x + y = 0
c) –2x + y = 0
d) –x + 2y = 0
Answer: (b)
11. The positive solutions of the equation ax + by + c = 0 always lie in the:
a) 1st quadrant
b) 2nd quadrant
c) 3rd quadrant
d) 4th quadrant
Answer: (a)
12. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
a) (0, 3)
b) (3, 0)
c) (2, 0)
d) (0, 2)
Answer: (c)
13. The point of the form (a, –a) always lies on the line:
a) x = a
b) y = –a
c) y = x
d) x + y = 0
Answer: (d)
14. The graph of x = 9 is a straight line:
a) Intersecting both the axes
b) parallel to y-axis
c) parallel to x-axis
d) Passing through the origin
Answer: (b)
15. Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c)y = 6
d)y = –6
Answer: (c)
16.The value of y at x = -1 in the equation 5y = 2 is
(a) 5/2
(b) 2/5
(c) 10
(d) 0
Answers: (2/5)
17. To which equation does the graph represent?
(a) 3x – 7y = 10
(b) y – 2x = 3
(c) 8y – 6x = 4
(d) 5x +35/2 y = 25
Answers: (C)
18. Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
(a) x – 2y – 10 = 0
(b) 2x – y – 10 = 0
(c) 2x + y – 10 = 0
(d) x – 2y + 10 = 0
Answers: (a)
19.Equation of a line passing through origin is
(a) x + y = 1
(b) x = 2y – 4
(c) x + y = 0
(d) y = x – 1
Answers: (c)
20.The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
(a) a ≠ 0, b = 0
(b) b ≠ 0, a = 0
(c) a = 0, b = 0
(d) a ≠ 0, b ≠ 0
Answers: (d)