**CBSE Class 9 Maths – MCQ and Online Tests – Unit 4 – Linear Equations for Two Variables**

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**CBSE Class 9 Maths – MCQ and Online Tests – Unit 4 – Linear Equations for Two Variables**

Question 1.

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

Answer: (d) (4, -1)

Question 2.

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

## Answer

Answer: (d) x = a

Question 3.

Any point on the line y = 3x is of the form

(a) (a, 3a)

(b) (3a, a)

(c) (a, \(\frac{a}{3}\))

(d) (\(\frac{a}{3}\), -a)

## Answer

Answer: (a) (a, 3a)

Question 4.

To which equation does the graph represent?

(a) 3x – 7y = 10

(b) y – 2x = 3

(c) 8y – 6x = 4

(d) 5x +\(\frac{35}{2}\)y = 25

## Answer

Answer: (c) 8y – 6x = 4

Question 5.

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

Answer: (d) x + y = 0

Question 6.

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

Answer: (b) (3, 0)

Question 7.

Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.

(a) (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))

(b) (0, \(\frac{-c}{b}\), 0), (\(\frac{-c}{a}\), 0)

(c) (-c, 0) (0, -c)

(d) (x, 0) (y, 0)

## Answer

Answer: (a) (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))

Question 8.

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

Answer: (c) y – 5

Question 9.

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

Answer: (c) infinitely many

Question 10.

Solution of linear equation 2x + 0.y + 9 = 0 is

(a) (\(\frac{9}{2}\), m)

(b) (n, \(\frac{-9}{2}\))

(c) (0, \(\frac{-9}{2}\))

(d) (\(\frac{-9}{2}\), 0)

## Answer

Answer: (d) (\(\frac{-9}{2}\), 0)

Question 11.

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

Answer: (c) infinitely many

Question 12.

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

(a) 2

(b) 4

(c) 3

(d) \(\frac{1}{2}\)

## Answer

Answer: (a) 2

Question 13.

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

Answer: (a) x – 2y – 10 = 0

Question 14.

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

Answer: (b) x = 6y + 5

Question 15.

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

Answer: (c) x + y = 0

Question 16.

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

Answer: (d) a ? 0, b ? 0

Question 17.

x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is

(a) 0

(b) \(\frac{1}{2}\)

(c) 2

(d) 3

## Answer

Answer: (b) \(\frac{1}{2}\)

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