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

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__Mathematics__

## MCQ | Class 09 | Chapter 4

__Linear Equations in Two Variables__

**MCQ Based on the Linear Equations in Two Variables.**

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

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

**MCQ Based on the Solution of Linear Equations.**__Features__

__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__

__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

**c**

a) x = 5

b) x + 5 = y

c) y – 5

d) x – y = 0

**Answer c**

**3x + 10 = 0 will have:**

a) Unique solution

b) Two solutions

c) Infinitely many solutions

d) No solutions

**a**

a) 0

b) 1/2

c) 2

d) 3

b) 12

c) 2

d) 3

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

a) (0, 2)

b) (2, 0)

c) (4, 0)

d) (1, 1)

**c**

a) x = -a

b) y = a

c) y = x

d) x + y = 0

**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

**d**

a) Intersecting both the axes

b) parallel to y-axis

c) parallel to x-axis

d) Passing through the origin

**Answer: (b)**

**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**

a) (0, y)

b) (x, 0)

c) (x, x)

d) (x, y)

**Answer: (b)**

**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**

a) 2x + y = 17

b) x + y = 17

c) x + 2y = 17

d) 3x – 2y = 17

**Answer: (c)**

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

a) (k, -k)

b) (0, k)

c) (k, 0)

d) (k, k)

**d**

a) (a, –a)

b) (0, a)

c) (a, 0)

d) (a, a)

**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

**b**

a) 4

b) 6

c) 5

d) 2

**Answer: (a)**

**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

**a**

a) y – x

b) x + y = 0

c) y = 2x

d) 2 + 3y = 7

**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

**d**

a) two

b) definite

c) infinitely many

d) three

**Any point on the x-axis is of the form**

a) (x, y)

b) (0, y)

c) (x, 0)

d) (x, x)

**c**

**Q23)**

**Any point on the y-axis is of the form**

a) (y, y)

b) (0, y)

c) (x, y)

d) (x, 0)

**b**

**Equation of a line passing through origin is**

**Q24)**a) x + y = 1

b) x = 2y – 4

c) x + y = 0

d) y = x – 1

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

a) No
solution

b) unique
solution

c) Two
solutions

d)
Infinitely many solutions

**d**

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

a) No
solution

b) unique
solution

c) Two
solutions

d)
Infinitely many solutions

**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)

**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

**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

**b**

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

**Q30)**a) (0, 3)

b) (3, 0)

c) (2, 0)

d) (0, 2)

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

**Q31)**a) (2, 4)

b) (0, 3)

c) (-4, 1)

d) (4, -1)

a) only one

b) two

c) infinitely many

d) three

a) 2

b) 4

c) 3

d)

a) x – 2y – 10 = 0

b) 2x – y – 10 = 0

c) 2x + y – 10 = 0

d) x – 2y + 10 = 0

a) 6x + y = 5

b) x = 6y + 5

c) x + 6y = 5

d) x – 6 = 5

a) a ≠ 0, b = 0

b) b ≠ 0, a = 0

c) a = 0, b = 0

d) a ≠ 0, b ≠ 0

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