Question

Which of the following lines pass through the point (1,1)?

• A. 2x + 3y = 5
• B. 3x - 2y = 2
• C. x + y = 2
• D. 2x - 3y = 0

Answer 1

Answer: (A), (C)

The correct options are
A 2x + 3y = 5
C x + y = 2

A point lies on a line if its coordinates satisfy the equation of the line.

x -coordinate of the point =1 and
y -coordinate of the point =1

To check 2x + 3y =5, substitute the values of x and y in the equation.
2(1) + 3(1) =5 $\to$ (1,1) lies on the line 2x + 3y =5

To check 3x - 2y =2, substitute the values of x and y in the equation.
3(1) - 2(1) = 1 $\to$ (1,1) does not lies on the line 3x - 2y =2

To check x + y = 2, substitute the values of x and y in the equation.
1 + 1 =2 $\to$ (1,1) lies on the line x + y = 2

To check 2x - 3y = 0, substitute the values of x and y in the equation.
2(1) - 3(1) = -1 $\to$ (1,1) does not lies on the line 2x - 3y = 0