Question

Select the point that does not lie on the line 0.5y - 12x = 20.

• A. (2,88)
• B. (5,160)
• C. (4,136)
• D. (3,102)

Answer 1

The correct option is D (3,102)

The equation can be written as:

$\text{0.5y - 12x = 20}$

$\Rightarrow \text{0.5y = 12x + 20}$

$\Rightarrow \text{y = 24x + 40}$

On substituting x = 2 in the equation, we get:

$\text{y = 24(2) + 40 = 48 + 40 = 88}$

∴ Point (2,88) lies on the line 0.5y - 12x = 20.

On substituting x = 5 in the equation, we get:

$\text{y = 24(5) + 40 = 120 + 40 = 160}$

∴ Point (5,160) lies on the line 0.5y - 12x = 20.

On substituting x = 4 in the equation, we get:

$\text{y = 24(4) + 40 = 96 + 40 = 136}$

∴ Point (4,136) lies on the line 0.5y - 12x = 20.

On substituting x = 3 in the equation, we get:

$\text{y = 24(3) + 40 = 72 + 40 = 112}$

∴ Point (3,112) lies on the line 0.5y - 12x = 20.


So, the incorrect option will be (3,102).