# LINEAR EQUATIONS IN TWO VARIABLES NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

Q1. Two solutions of this equation 2x + y = 1 are

1. (0, 1) and (1, 0)
2. (0, 1) and (1/2, 0)
3. (2, 0) and (1, 2)
4. (2, 3) and (4, 5)

Q2. The Equation y = – 5, in two variables  can be written  in the form of ax + by + c = 0 as

1. 1.x + 0.y -5 = 0
2. 0.x + 1.y -5 = 0
3. 0.x + 1.y + 5 = 0
4. 1.x + 0.y + 5 = 0

Q3. The number of lines passing through (3, 5) are:

1. 1
2. 2
3. Infinite

Q4. A line intercepts the x axis at (-7, 0), so its x intercept is

1. 7
2. -7
3. 0
4. None

Q5. Which of the following pair is a solution of the equation 2x – 3y = 7

1. (5,1)
2. (1,5)
3. (0,2)
4. (2,-3)

Q6. The positive solution of equation ax + by + c = 0 always lie in the:

Q7. Which of the following is a solution of the equation 4x + 3y = 16?

1. (2, 3)
2. (1, 4)
3. (2, 4)
4. (1, 3)

Q8. Equation of x-axis is:

1. x = 0
2. y = 0
3. y = x
4. x = 1

Q9. For what value of k, x = 2 and y = -1 is a solution of x + 3y – k = 0?

1. -1
2. 2
3. -2
4. 3

Q10. An equation of the type ————- represents a line passing through the origin.

1. y = m + x
2. y = m + x + 1
3. y = mx
4. x = m – y

Q11. 14 If -0.25x + 1.3 = -0.55x – 0.2 , then x

1. -5
2. -2
3. 5
4. 2

Q12. A linear equation in one variable is an equation of the form ………..

1. ax + b = 0, where a, b , c are real numbers
2. ax = c, where a and c are real numbers
3. by = c, where band c are real number
4. All of above

Q13. Which of the following points lies on the line 3x + 2y = 6?

1.    (1, 2)
2.    (2, 3)
3.    (3, 0)
4.    (0, 3)

Q14. Four times B’s age exceeds A’s age by twenty years.

1. 5B – 3A = 25
2. 4B – A = 20
3. 3B – 2A = 18
4. 5B – 7A = 16

Q15. If a linear equation has solutions (-2,2), (0,0) (2,-2) then it is of the form:

1. y – x = 0
2. x + y = 0
3. -2x + y = 0
4. -x + 2y = 0

Q16. The value of k if x = 2, y = 1 is a solution of the equation 2x – k = – 3y is:

1. 7
2. 6
3. -7
4. 5

Q17. The linear equation 5x – y = 2x – 1 has

1. 2 solutions
2. a unique solution
3. no solution
4. Infinitely many solutions

Q18. The graph of ————— is a straight line parallel to y axis.

1. x + a = y
2. x = a
3. x = ay
4. x – a = y

Q19. The speed x of train A is twice the speed y of the train B. Express this in the form of a linear eQuation.

1.    x = y/2
2.    x = 2y
3.    x = y + 2
4.        x = y – 2

Q20. Which of these points does not lie on the graph of y = -x + 3?

1. 9,-6
2. 3,0
3. -2,5
4. 2,2

Q21. A linear equation in two variables has how many solutions?

1. One
2. Two
3. Infinite
4. Not possible

Q22. The x and y intercepts of the line 2y = 3x

1. 2 and 3
2. 3 and 2
3. 0 and 0
4. 0 and 2

Q23. The graph of the equation of the form y=mx is a line which always passes through:

1. (0, m)
2. (x, 0)
3. (0, y)
4. (0, 0)

Q24. For a line y = mx to pass through the origin, what are the possible values of m?

1. Any real value
2. Only positive real values
3. Only negative real values
4. Only rational numbers

Q25. The line ax + by = ab makes intercepts on the x and y axis.

1. a and b
2. b and a
3. a and ab
4. b and ab

Q26. Two intersecting straight lines have

1.  only one point in common.
2.  Infinitely many points in common
3.  Two points in common
4.  No points in common

Q27. The number of line(s) passing through a point (3,4) is (are):

1. Only one
2. Two
3. Infinite
4. Three

Q28. The line x = 3 is

1. A horizontal line
2. A vertical line
3. A line passing through origin
4. A line meeting both x and y axis

Q29. Which of these points does not lie on the graph of y = -x + 3?

1. 9,-6
2. 3,0
3. -2,5
4. 2,2

Q30. Which of the following is not a linear equation?

1. ax + by + c = 0
2. 0x + 0y + c=0
3. 0x + by + c = 0
4. ax + 0y + c = 0

Q31. (2,-3) is a solution of 3x + 4y + k = 0. So, the value of k must be

1.  -4
2.    4
3.  6
4.  -6

Q32. The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is

1.  x + 5 = 2y
2.    x + 2y = -5
3.    2y – x = -5
4.  2x – y = 5

Q33. The value of m, if a = 3 and b = 1 is the solution of equation 2a + 3b = m is:

1. 8
2. 7
3. 10
4. 9

Q34. ——————- is the equation of y-axis.

1. y = 0
2. x = 0
3. y = 1
4. y = -1

Q35. Which  of the following statement is  true for the linear equation y = 2x + 7

1. There is no solution
2. Only two solution is possible
3. A Unique
4. There are infinitely many solutions.

Q36. A line is parallel to the x – axis and 2 units below its so its equation must be

1. x + 2 = 0
2. x – 2 = 0
3. y + 2 = 0
4. y – 2 = 0

Q37. If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is

1. 1
2. -1
3. 2
4. -2

Q38. The point lying on the equation 2x – y = 5 is:

1. (2, -1)
2. (6, 1)
3. (-3, 1)
4. (3, 4)

Q39. For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?

1.   2
2.   3
3.    -1
4.    -2

Q40. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:

1. 7
2. 6
3. -7
4. 5

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