### Maths MCQ Class IX Ch-14 | Statistics

Mathematics  MCQ | Class 09 | Chapter 14 STATISTICS Multiple Choice Questions (MCQ) MCQ Based on the Data. MCQ  Based on the Mean of Data. MCQ Based on the Median. MCQ Based on the Mode. 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 14 Statistics. Start solving  the NCERT Problems with examples. Solve the important assignments on the Chapter 14 Class IX. Then start solving the following MCQ. MCQ |Chapter 14 | Statistics | Class IX

Mathematics

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

Multiple Choice Questions (MCQ)

## 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 IXLINEAR 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

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

Q3) 3x + 10 = 0 will have:

a) Unique solution

b) Two solutions

c) Infinitely many solutions

d) No solutions

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

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

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

a) (0, 2)

b) (2, 0)

c) (4, 0)

d) (1, 1)

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

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

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

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

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

a) (0, y)

b) (x, 0)

c) (x, x)

d) (x, y)

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)

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

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

a) (k, -k)

b) (0, k)

c) (k, 0)

d) (k, k)

Q15) Any point on the line y = x is of the form:

a) (a, –a)

b) (0, a)

c) (a, 0)

d) (a, a)

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

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

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

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

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

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

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

a) (x, y)

b) (0, y)

c) (x, 0)

d) (x, x)

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

a) (y, y)

b) (0, y)

c) (x, y)

d) (x, 0)

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

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

a) No solution

b) unique solution

c) Two solutions

d) Infinitely many solutions

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

a) No solution

b) unique solution

c) Two solutions

d) Infinitely many solutions

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)

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

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

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)

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)

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

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

a) 2
b) 4
c) 3
d) ½

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

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

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