Maths MCQ Class IX Ch-4 | Linear Equations in Two Variables

    Mathematics

MCQ | Class 09 | Chapter 4
Linear Equations in Two Variables

Multiple Choice Questions (MCQ)

• MCQ Based on the Linear Equations in Two Variables.

• MCQ  Based on the Graph of Linear Equations in Two Variables.

• MCQ Based on the Solution of Linear Equations.

Features

• In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
• Solution Hints are also given to some difficult problems. 
• Each MCQ contains four options from which one option is correct. 

Action Plan

• First of all students should Learn and write all basic points and Formulas related to the Chapter 4  Linear Equations in Two Variables.
• Start solving  the NCERT Problems with examples.
• Solve the important assignments on the Chapter 4 Class XI.
• Then start solving the following MCQ.

MCQ | CHAPTER - 4 | CLASS IX
LINEAR EQUATIONS IN TWO VARIABLES

Q1)  The linear equation 3x - 11y = 10 has:

a. Unique solution

b. Two solutions

c. Infinitely many solutions

d. No solutions

Answer: c

Q2) Equation of a line which is 5 units distance above the x-axis is

a) x = 5
b) x + 5 = y
c) y – 5
d) x – y = 0

Answer c

Q3) 3x + 10 = 0 will have:

a) Unique solution

b) Two solutions

c) Infinitely many solutions

d) No solutions

Answer: a

Q4) x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is

a) 0
b) 1/2
c) 2
d) 3

Answer b

Q5) x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is

a) 0
b) 12
c) 2
d) 3 

Answer d

Q6) The solution of equation x - 2y = 4 is:

a) (0, 2)

b) (2, 0)

c) (4, 0)

d) (1, 1)

Answer: c

Q7) 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

Answer d

Q8) Find 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

Answer: d

Q9) 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)

Q10) 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

Answer: b

Q11) Any point on the x-axis is of the form:

a) (0, y)

b) (x, 0)

c) (x, x)

d) (x, y)

Answer: (b)

Q12) 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)

Answer: c

Q13) 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)

Q14) Any point on line x = y is of the form:

a) (k, -k)

b) (0, k)

c) (k, 0)

d) (k, k)

Answer: d

Q15) 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

Q16) The graph of x = 3 is a line:

a) Parallel to the x-axis at a distance of 3 units from the origin

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

c) Makes an intercept 3 on the x-axis

d) Makes an intercept 3 on the y-axis

Answer: b

Q17) 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)

Q18) If x and y are both positive solutions of equation ax+by+c=0, always lie in the:

a) First quadrant

b) Second quadrant

c) Third quadrant

d) Fourth quadrant

Answer: a

Q19) Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation

a) y – x
b) x + y = 0
c) y = 2x
d) 2 + 3y = 7

Answer b

Q20) A linear equation in two variables is of the form ax + by + c = 0, where

a) a = 0, c = 0

b) a ≠ 0, b = 0

c) a = 0, b ≠ 0

d) a ≠ 0, b ≠ 0

Answer: d

Q21) The maximum number of points that lie on the graph of a linear equation in two variables is.

a) two
b) definite
c) infinitely many
d) three

Answer c

Q22) Any point on the x-axis is of the form

a) (x, y)

b) (0, y)

c) (x, 0)

d) (x, x)

Answer: c

Q23) Any point on the y-axis is of the form

a) (y, y)

b) (0, y)

c) (x, y)

d) (x, 0)

Answer: b

Q24) Equation of a line passing through origin is

a) x + y = 1
b) x = 2y – 4
c) x + y = 0
d) y = x – 1

Answer c

Q25) The linear equation 2x – 5y = 7 has

a) No solution

b) unique solution

c) Two solutions

d) Infinitely many solutions

Answer: d

Q26) The linear equation 3x – y = x – 1 has

a) No solution

b) unique solution

c) Two solutions

d) Infinitely many solutions

Answer: d

Q27) The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point

a) (2, 0)

b) (0, 2)

c) (3, 0)

d) (0, 3)

Answer: b

Q28) The point of the form (a, a) always lies on:

a) On the line x + y = 0

b) On the line y = x

c) x-axis

d) y-axis

Answer: b

Q29) If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is

a) 2

b) 4

c) 5

d) 6

Answer: b

Q30) 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)

Answer b

Q31) 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)

Answer d

Q32) 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

Answer c

Q33) If (3, 2) is the solution 3x – ky = 5, then k equals of the equation

a) 2
b) 4
c) 3
d) ½

Answer a

Q34) Q34) 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

Answer a

Q35) If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is

a) 6x + y = 5
b) x = 6y + 5
c) x + 6y = 5
d) x – 6 = 5

Answer b

Q36) 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

Answer d

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