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
Answer c
Q3) 3x + 10 = 0 will have:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
Answer: a
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
Answer b
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
Answer d
Q6) The solution of
equation x - 2y = 4 is:
a) (0, 2)
b) (2, 0)
c) (4, 0)
d) (1, 1)
Answer: c
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
Answer d
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
Answer: d
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
Answer: (b)
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
Answer: b
Q11) Any point on
the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)
Answer: (b)
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)
Answer: c
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
Answer: (c)
Q14) Any point on line x =
y is of the form:
a) (k, -k)
b) (0, k)
c) (k, 0)
d) (k, k)
Answer: d
Q15) Any point on
the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)
Answer d
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
Answer: b
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
Answer: (a)
Q18) 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
Answer: a
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
Answer b
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
Answer: d
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
Answer c
Q22) Any point on the
x-axis is of the form
a) (x, y)
b) (0, y)
c) (x, 0)
d) (x, x)
Answer: c
Q23) Any point on the
y-axis is of the form
a) (y, y)
b) (0, y)
c) (x, y)
d) (x, 0)
Answer: b
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
Answer c
Q25) The linear equation
2x – 5y = 7 has
a) No
solution
b) unique
solution
c) Two
solutions
d)
Infinitely many solutions
Answer: d
Q26) The linear equation
3x – y = x – 1 has
a) No
solution
b) unique
solution
c) Two
solutions
d)
Infinitely many solutions
Answer: 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)
Answer: 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
Answer: 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
Answer: b
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)
Answer b
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)
Answer d
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
Answer c
Q33) If (3, 2) is the solution 3x – ky = 5, then k equals of the equation
a) 2
b) 4
c) 3
d) ½
Answer
a
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
Answer a
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
Answer b
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
Answer d
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