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Class 9 Maths
Linear Equations For Two Variables
Quiz 1
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How many linear equation in x and y can be satisfied by x = 1 and y = 2?
0%
only one
0%
two
0%
infinitely many
0%
three
Explanation
infinitely many
Solution of linear equation 2x + 0.y + 9 = 0 is
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(\(\frac{9}{2}\), m)
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(n, \(\frac{-9}{2}\))
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(0, \(\frac{-9}{2}\))
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(\(\frac{-9}{2}\), 0)
Explanation
(\(\frac{-9}{2}\) 0)
If (3, 2) is the solution 3x - ky = 5, then k equals of the equation
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2
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4
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3
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\(\frac{1}{2}\)
Explanation
2
Cost of book (x) exceeds twice the cost of pen (y) by RsThis statement can be expressed as linear equation.
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x - 2y - 10 = 0
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2x - y - 10 = 0
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2x + y - 10 = 0
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x - 2y + 10 = 0
Explanation
x - 2y - 10 = 0
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
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6x + y = 5
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x = 6y + 5
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x + 6y = 5
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x - 6 = 5
Explanation
x = 6y + 5
Equation of a line passing through origin is
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x + y = 1
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x = 2y - 4
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x + y = 0
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y = x - 1
Explanation
x + y = 0
The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
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a ≠ 0, b = 0
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b ≠ 0, a = 0
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a = 0, b = 0
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a ≠ 0, b ≠ 0
Explanation
a ≠ 0, b ≠ 0
The maximum number of points that lie on the graph of a linear equation in two variables is.
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two
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definite
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infinitely many
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three
Explanation
infinitely many
Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation
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y - x
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x + y = 0
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y = 2x
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2 + 3y = 7x
Explanation
x + y = 0
The value of y at x = -1 in the equation 5y = 2 is
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\(\frac{5}{2}\)
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\(\frac{2}{5}\)
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10
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0
Explanation
\(\frac{2}{5}\)
Equation of a line which is 5 units distance above the x-axis is
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x = 5
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x + 5 = y
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y - 5
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x - y = 0
Explanation
y - 5
x = 3 and y = -2 is a solution of the equation 4px - 3y = 12, then the value of p is
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0
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\(\frac{1}{2}\)
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2
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3
Explanation
\(\frac{1}{2}\)
Which of the following is the equation of a line parallel to y-axis?
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y = 0
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x + y = z
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y = x
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x = a
Explanation
x = a
Any point on the line y = 3x is of the form
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(a, 3a)
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(3a, a)
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(a, \(\frac{a}{3}\)
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(\(\frac{a}{3}\), -a)
Explanation
(a, 3a)
To which equation does the graph represent?
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3x - 7y = 10
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y - 2x = 3
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8y - 6x = 4
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5x +\(\frac{35}{2}\)y = 25
Explanation
8y - 6x = 4
Any point of the form (a, - a) always lie on the graph of the equation
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x = -a
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y = a
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y = x
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x + y = 0
Explanation
x + y = 0
The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
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(0, 3)
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(3, 0)
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(2, 0)
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0, 2)
Explanation
(3, 0)
Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.
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(\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))
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(0, \(\frac{-c}{b}\), 0), (\(\frac{-c}{a}\), 0)
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(-c, 0) (0, -c)
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(x, 0) (y, 0)
Explanation
(\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))
Which of the following ordered pairs is a solution of the equation x - 2y - 6?
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(2, 4)
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(0, 3)
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(-4, 1)
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(4, -1)
Explanation
(4, -1)
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