Maths MCQs for Class 9 with Answers Chapter 4 Linear Equations for Two Variables

Find here the NCERT Book Multiple Choice Questions from Class 9 Maths book with Answers Pdf free download as per CBSE new exam pattern. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Class 9 Maths. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.


Q.1 The point lying on the equation 2x – y = 5 is:​

(a) (3, 4)
(b) (-3, 1)
(c) (6, 1)
(d) (2, -1)

(d) (2, -1)


Q.2 The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.

(a) 46
(b) 48
(c) 64
(d) 84

(c) 64


Q.3 For the equation 5x – 7y = 35, if y = 5, then the value of ‘x’ is

(a) -12
(b) -14
(b) 14
(d) 12

(b) 14


Q.4 Which of the following ordered pairs is a solution of the equation x – 2y – 6?

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

(d) (4, -1)


Q.5 How many linear equation in x and y can be satisfied by x = 1 and y = 2?

(a) only one
(b) two
(c) infinitely many
(d) three

(c) infinitely many


Q.6 The straight line passing through the points (0, 0), (–1, 1) and (1, – 1) has the equation :

(a) 2 – x = 3y
(b) y = x
(c) 2x – y = 0
(d) x + y = 0

(d) x + y = 0


Q.7 The value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

(a) 5
(b) 6
(c) 7
(d) 8

(d) 8


Q.8 The solution of equation x-2y = 4 is:

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

(c) (4,0)


Q.9 Any point of the form (a, – a) always lie on the graph of the equation

(a) x = -a
(b) y = a
(c) y = x
(d) x + y = 0

(d) x + y = 0


Q.10 The graph of the equation 2x + 3y = 6 cuts the x-axis at the point

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

(b) (3, 0)


Q.11 3x+10 = 0 will has:

(a) Unique solution
(b) Two solutions
(c) Infinitely many solutions
(d) No solutions

(a) Unique solution


Q.12 Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

(a) 4/3
(b) 5/3
(c) 3
(d) 7/3

(b) 5/3


Q.13 The graph of linear equation x+2y = 2, cuts the y-axis at:

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

(c) (0,1)


Q.14 If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

(a) 0
(b) 4
(c) 3
(d) 1

(d) 1


Q.15 If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b

(a) 2,1
(b) 3,1
(c) 4,6
(d) 1,2

(b) 3,1


Q.16 The solution of the equation x + y = 3, 3x – 2y = 4 is :

(a) x = 2, y = 1
(b) x = 1, y = 2
(c) x = –2, y = 1
(d) x = –2, y = –1

(a) x = 2, y = 1


Q.17 The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is

(a) 7
(b) -7
(c) 6
(d) 5

(a) 7


Q.18 If x and y are both positive solutions of equation ax+by+c=0, always lie in:

(a) First quadrant
(b) Second quadrant
(c) Third quadrant
(d) Fourth quadrant

(a) First quadrant


Q.19 The linear equation 4x – 10y = 14 has:

(a) A unique solution
(b) Two solutions
(c) Infinitely many solutions
(d) No solutions

(c) Infinitely many solutions


Q.20 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

(a) x – 2y – 10 = 0


Q.21 The graph of x = 3 is a line:

(a) Parallel to x-axis at a distance of 3 units from the origin
(b) Parallel to y-axis at a distance of 3 units from the origin
(c) Makes an intercept 3 on x-axis
(d) Makes an intercept 3 on y-axis

(b) Parallel to y-axis at a distance of 3 units from the origin


Class 9 Maths MCQs Multiple Choice Questions with Answers


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