Linear Equation in Two Variables

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4

• 5

• 6

• 2

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

• (2 ,0)

• (0 ,3)

• (3 ,0)

• (0, 2)

The graph of ax + by + c = 0 is _____

• A straight line parallel to x - axis

• A straight line parallel to y - axis 

• A general straight line

• A line in the 2nd and 3rd quadrant

The graph of the linear equation in two variables y = mx is _____

• a line parallel to x - axis 

• a line parallel to y - axis 

• a line passes through the origin

• not a straight line

The equation y = 3x + 5 has _____

• unique solution 

• Only two solutions

• Three solutions 

• Infinitely many solutions 

The equation x = 7 in two variables can be written as ____

•  x + 1 .y = 7

• x + 0.y = 7

• 0.x + 1. y = 7

• 0.x + 0.y = 7

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin

• parallel to y-axis at a distance of 6 units from the origin

• making an intercept 6 on the x-axis

• making an intercept 6 on both the axis

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

• Changes

• Remains the same 

• Changes in case of multiplication only

• Changes in case of division only

The point of the form (a , -a) always lies on the line____

• x = a

• y = - a

• y = x

• x + y = 0

Which of the following is the standard form of a linear equation in two variables?

• 𝑦 = 𝑚𝑥 + 𝑏

• 𝑦 = 𝑚𝑥 – 𝑏

• 𝐴𝑥 + 𝐵𝑦 = 𝐶

• 𝐴𝑥 - 𝐵𝑦 = 𝐶