Solutions of Linear Equation in 2 Variables on a Graph

Q.

The point (1, 2) lies on the line _____.

1. x + 2y = 5

2. 2x + y = 5

3. 3x – 2y = 1

4. 4x – y = 5

Q.

Select the equation whose graph is given alongside:

1. y = 2x + 2

2. 2x + y = -4

3. y - 2x = 4

4. y = 2x - 4

Q. The linear equation with the solutions (-2, 2), (0, 0) and (2, -2) can be given as __________.

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

Q.

A point on the line x + y = 0 can be represented as (a, -a).

1. (a, 0)

2. (0, a)

Q. The value of 'p', for which the point (p, 2) lies on the line 3x + y = 11 is ____.

1. 2
2. 3
3. 9
4. 1

Q.

Given graph gives the solution of the linear equation

1. x-2=y

2. 3x+2=y

3. x=y

4. 4x+5=2

Q.

Co-ordinates of P and Q are _______ respectively:

1. (1, 1) & (5, 0)

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

3. (2, 2) & (0, 3)

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

Q. Choose the option which describes the equation of the line shown in the graph.

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

Q. The graph of the linear equation represented by x = y, passes through the point ________.

1. (0, 3)
2. (-234, 235)
3. (2, 0)
4. (5, 5)

Q.

If the graph of the equation 4x + 3y = 12cuts the coordinate axes at A and B, then hypotenuse of right angle triangle AOB is of length

1. 4 units
2. 3 units
3. 5 units
4. None of these