Question

The point of intersection of the lines x - 2y = 0 and y - 3x = 0
1. (2, 3)
2. (3, 2)
3. (1, 2)
4. (0, 0)

Answer 1

Correct Answer - Option 4 : (0, 0)

Calculation:

Given:

Given lines

x - 2y = 0     ----(1)

y - 3x = 0     ----(2)

Multiplying equation (2) with 2, we get

- 6x + 2y = 0      ----(3)

Adding (1) and (3), we get

- 5x = 0

x = 0

By substituting the value of x in (1), we get

x - 2y = 0 

0 - 2y = 0 

y = 0

Thus, the point of intersection of the given two lines is (0, 0).