# 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

## Answer

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.

## Answer

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

## Answer

C

**Question. The equation of x-axis is of the form**

(a) x = 0

(b) x + y = 0

(c) y = 0

(d) x = y

## Answer

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

## Answer

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

## Answer

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

## Answer

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

## Answer

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

## Answer

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)

## Answer

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

## Answer

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.

## Answer

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

## Answer

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

## Answer

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

## Answer

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

## Answer

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)

## Answer

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°

## Answer

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

## Answer

B

**Question. The negative 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

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

## Answer

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

## Answer

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

## Answer

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

## Answer

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

## Answer

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)

## Answer

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

## Answer

D

**Question. The y-intercept of the line y = x + 5 is**

(a) 0

(b) 5

(c) 2

(d) 3

## Answer

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

## Answer

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

## Answer

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

## Answer

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)

## Answer

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

## Answer

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

## Answer

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

## Answer

A

We hope the above multiple choice questions for Class 9 Mathematics for Chapter 4 Linear Equations in two Variables provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Linear Equations in two Variables is an important chapter in Class 9 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of Class 9 students. Please go through these and let us know if you have any feedback in the comments section.