# MCQs for Mathematics Class 9 with Answers Chapter 4 Linear Equations in two Variables

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Linear Equations in two Variables with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

## Chapter 4 Linear Equations in two Variables MCQ with Answers Class 9 Mathematics

MCQ Questions Class 9 Mathematics Linear Equations in two Variables provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. The ratio of the x and y intercepts made by the graph of the linear equation 2x + 3y = 9 on the x-axis and y-axis respectively is
(a) 2 : 3
(b) 1 : 3
(c) 3 : 2
(d) 3 : 1

C

Question. The linear equation of the type y = mx, m ≠ 0 has
(a) infinitely many solutions.
(b) a unique solution.
(c) only solution x = 0, y = 0.
(d) solution m = 0.

A

Question. The point of the form (a, a) always lies on the
(a) x-axis
(b) y-axis
(c) line y = x
(d) line x + y = 0

C

Question. The equation of x-axis is of the form
(a) x = 0
(b) x + y = 0
(c) y = 0
(d) x = y

C

Question. The coefficients of x and y respectively in the equation 5x – y = 10 are
(a) 5, 1
(b) 1, 1/5
(c) 1, 5
(d) 5, – 1

D

Question. If (4, 19) is a solution of the equation y = px + 3, then the value of p is
(a) 3
(b) 4
(c) 5
(d) 6

B

Question. The condition that the equation ax + by + c = 0 represents the 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

D

Question. If (0, y) is a solution of the equation 6x – y = 0, then the graph of this equation
(a) passes through the origin
(b) is parallel to the x-axis
(c) is parallel to the y-axis
(d) is neither parallel to any of the coordinate axes nor passes through the origin

A

Question. If (2, 0) is a solution of the linear equation 2x + 3y – k = 0, then the value of k is
(a) 6
(b) 4
(c) 2
(d) 5

B

Question. Any point on the line y = x is of the form
(a) (a, a)
(b) (0, a)
(c) (a, 0)
(d) (a, – a)

A

Question. ‘Twice the ordinate of a point decreased by three times the abscissa is 6.’ The given sentence expressed in the form of an equation is
(a) 2x – 3y = 6
(b) 2y – 3x = 6
(c) 3x – 2y = 6
(d) 3y – 2x = 6

B

Question. Any solution of the linear equation 3x + 0.y + 7 = 0 in two variables is of the form
(a) (n,−7/3)
(b) (−7/3,m)
(c) (0,-7/3)
(d) (– 7, 0)
where n and m are real numbers.

B

Question. y/5=1The equation x = 9, in two variables, can be written as
(a) 1.x + 1.y = 9
(b) 1.x + 0.y = 9
(c) 0.x + 1.y = 9
(d) 0.x + 0.y = 9

B

Question. Which statement is true about the graph y = 5?
(a) It goes through the origin
(b) It is parallel to x-axis
(c) It is parallel to y-axis
(d) It has an x-intercept

B

Question. y/5 = 1, expressed as an equation in two variables in standard form is
(a) x + y + 5 = 0
(b) x – y – 5 = 0
(c) 0.x + 1. y – 5 = 0
(d) x – y + 5 = 0

C

Question. The graph of x = 5 is a line
(a) parallel to x-axis at a distance of 5 units from the origin
(b) parallel to y-axis at a distance of 5 units from the origin
(c) making an intercept of 5 on the y-axis
(d) making an intercept of 5 on both the axes

B

Question. Coordinates of the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 11/2 times its abscissa is
(a) (3, 2)
(b) (2, 3)
(c) (2,5/2)
(d) (5/2,2)

B

Question. The measure of angle between the graph lines of the equations y = 3 and x = 7 is
(a) 0°
(b) 45°
(c) 90°
(d) 75°

C

Question. The linear equation 2x + cy = 8 has equal values of x and y for its solution when c is equal to
(a) (8+2x)/y, y ≠ 0
(b) (8−2x)/y, y ≠ 0
(c) (2−8x)/y, y ≠ 0
(d) (2+8x)/y, y ≠ 0

B

Question. The negative solutions of the equation ax + by + c = 0 always lie in the

C

Question. Which of the following is a solution of the equation x + 2y = 7?
(a) x = 3, y = – 5
(b) x = 3, y = 5
(c) x = 0, y = 7
(d) x = 3, y = 2

D

Question.x – 4 = √3y expressed in the form ax + by + c = 0 is
(a) x – √3y – 4 = 0
(b) x + √3y + 4 = 0
(c) x – √3y + 4 = 0
(d) x + √3y – 4 = 0

A

Question. If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation
(a) changes
(b) remains the same
(c) changes in case of multiplication only
(d) changes in case of division only

B

Question. The graph of 2x = 1 is parallel to the
(a) x-axis at a distance of 1 unit
(b) y-axis at a distance of 1 unit
(c) x-axis at a distance of 1/2 unit
(d) y-axis at a distance of 1/2 unit

D

Question. Linear equation such that each point on its graph has its ordinate equal to twice its abscissa is
(a) x + y = 2
(b) y = 2x
(c) x = 2y
(d) x – y = 2

B

Question. The graph of the linear equation 3x – y = 2 cuts the y-axis at the point
(a) (0, 2)
(b) (0, – 2)
(c) (– 2, 0)
(d) (2, 0)

B

Question. The distance between the graph lines of the equations x = 5 and x = – 7 is
(a) 2 units
(b) 5 units
(c) 7 units
(d) 12 units

D

Question. The y-intercept of the line y = x + 5 is
(a) 0
(b) 5
(c) 2
(d) 3

B

Question. If a linear equation has solutions (0, 0), (– 3, 3) and (3, – 3), then it is of the form
(a) y – 2x = 0
(b) x + y = 0
(c) y – x = 0
(d) x – y = 0

B

Question. The number of solution(s) of the equation 2x + 1 = x – 3 on the number line and cartesian plane respectively are
(a) infinitely many solutions, one
(b) one, two
(c) two, one
(d) one, infinitely many solutions

D

Question. How many linear equations in x and y can be satisfied by x = 3 and y = 1?
(a) Only one
(b) Two
(c) Three
(d) Infinitely many

D

Question. The graph of the linear equation x – 2y = 3 is a line which meets the x-axis at the point
(a) (3, 0)
(b) (0, 3)
(c) (– 3, 0)
(d) (0, – 3)

A

Question. In the given figure, if ABCD is a square, then the diagonal AC divides it into two congruent triangles each of area

(a) 2 sq units
(b) 3 sq units
(c) 4 sq units
(d) 5 sq units

C

Question. In the given figure, if ABCD is a square whose diagonals AC and BD intersect at M(3, 1) then the equations of the diagonals AC and BD respectively are

(a) x + y = 2, x – y = 4
(b) x = 2y, x + y = 3
(c) 2x = y, x – y = 3
(d) x – y = 2, x + y = 4

D

Question. In the given figure, if OABC is a rectangle whose diagonals BO and CA intersect at M (2, 1), then the equations of the diagonals BO and CA respectively are

(a) x = 2y, x + 2y = 4
(b) x = y, x + y = 0
(c) 2x = y, 2x + y = 0
(d) x = 3y, x + 3y = 0