The lines x + 2y = 5 and 2x + 4y = 10 graphically represents _______.�

1.	The lines x + 2y = 5 and 2x + 4y = 10 graphically represents _______. 1. 2 perpendicular lines2. 2 co ‐ incident line3. 2 lines which intersects at (1, 2)4. 2 parallel lines
Answer» Correct Answer - Option 2 : 2 co ‐ incident line Given The lines = x + 2y = 5 and 2x + 4y = 10 Calculation x + 2y = 5 2x + 4y = 10 First find the equation 1 x + 2y = 5 x = 0 0 + 2y = 5 y = 5/2 assume y = 0 x + 2 (0) = 5 x = 5 then the 2 equation 2x + 4y = 10 x = 0 2(0) + 4y = 10 y = 5/2 assume again y = 0 2x + 4 (0) = 10 2x = 10 x = 5 ∴ These are co-incident line, because two line lie on same point.

The lines x + 2y = 5 and 2x + 4y = 10 graphically represents _______. 1. 2 perpendicular lines2. 2 co ‐ incident line3. 2 lines which intersects at (1, 2)4. 2 parallel lines

Answer» Correct Answer - Option 2 : 2 co ‐ incident line

Given

The lines = x + 2y = 5 and 2x + 4y = 10

Calculation

x + 2y = 5

2x + 4y = 10

First find the equation 1

x + 2y = 5

x = 0

0 + 2y = 5

y = 5/2

assume y = 0

x + 2 (0) = 5

x = 5

then the 2 equation

2x + 4y = 10

x = 0

2(0) + 4y = 10

y = 5/2

assume again y = 0

2x + 4 (0) = 10

2x = 10

x = 5

∴ These are co-incident line, because two line lie on same point.