Q 1 – 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
Ans. (c) y – 5
Q 2 – Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?
(a) 6 km/hr
(b) 4 km/hr
(c) 3 km/hr
(d) 7 km/hr
Ans. (b) 4 km/hr
Q 3 – The graph of x = 5 is a line:
a) Parallel to the x-axis at a distance of 5 units from the origin
b) Parallel to the y-axis at a distance of 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis
Ans. b) Parallel to the y-axis at a distance of 5 units from the origin
Q 4 – Which of the following is the equation of a line parallel to y-axis?
(a) y = 0
(b) x + y = z
(c) y = x
(d) x = a
Ans. (d) x = a
Q 5 – Any point on the line y = 3x is of the form
(a) (a, 3a)
(b) (3a, a)
Ans. (a) (a, 3a)
Q 6 – To which equation does the graph represent?
(a) 3x – 7y = 10
(b) y – 2x = 3
(c) 8y – 6x = 4
(d) 5x +35/2y = 25
Ans. (c) 8y – 6x = 4
Q 7 – Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.
(a) 20
(b) 50
(c) 60
(d) 40
Ans. (b) 50
Q 8 – 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
Ans. (d) x + y = 0
Q 9 – The linear equation 3x-11y=10 has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
Ans. c) Infinitely many solutions
Q 10 – 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)
Ans. (b) (3, 0)
Q 11 – 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?
(a) -1
(b) 2
(c) -2
(d) 3
Ans. (a) -1
Q 12 – 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)
Ans. (d) (4, -1)
Q 13 – The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new
number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.
(a) 46
(b) 48
(c) 64
(d) 84
Ans. (c) 64
Q 14 – Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c) y = 6
d) y = –6
Ans. c) y = 6
Q 15 – 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
Ans. (c) infinitely many
Q 16 – The solution of equation x-2y = 4 is:
a) (0,2)
b) (2,0)
c) (4,0)
d) (1,1)
Ans. c) (4,0)
Q 17 – Solution of linear equation 2x + 0.y + 9 = 0 is
Q 18 – If (3, 2) is the solution 3x – ky = 5, then k equals of the equation
(a) 2
(b) 4
(c) 3
Ans. (a) 2
Q 19 – All linear equations in two variables have ————–.
(a) One solution
(b) Infinitely many solutions
(c) Three solutions
(d) Two solution
Ans. (b) Infinitely many solutions
Q 20 – Cost of the book (x) exceeds twice the cost of the pen (y) by Rs 10. This statement can be expressed as a linear equation.
(a) x – 2y – 10 = 0
(b) 2x – y – 10 = 0
(c) 2x + y – 10 = 0
(d) x – 2y + 10 = 0
Ans. (a) x – 2y – 10 = 0
Q 21 – 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
Ans. (b) x = 6y + 5
Q 22 – The solution of the equation x + y = 3, 3x – 2y = 4 is :
(a) x = 2, y = 1
(b) x = 1, y = 2
(c) x = –2, y = 1
(d) x = –2, y = –1
Ans. (a) x = 2, y = 1
Q 23 – 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
Ans. d) 8
Q 24 – 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
Ans. (d) a ≠ 0, b ≠ 0
Q 25 – If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b
(a) 2,1
(b) 3,1
(c) 4,6
(d) 1,2
Ans. (b) 3,1
Q 26 – 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
Ans. (c) infinitely many
Q 27 – 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
Ans. b) 5/3
Q 28 – If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is
(a) 0
(b) 4
(c) 3
(d) 1
Ans. (d) 1
Q 29 – 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 = 7x
Ans. (b) x + y = 0
Q 30 – In equation, y = mx+c, m is:
a) Intercept
b) Slope of the line
c) Solution of the equation
d) None of the above
Ans. b) Slope of the line