Question

The coordinates given below lie on 2x - y + 4 = 0

$$\begin{array}{ccccc}x& 1& 2& 4& -2\\ y& 6& 8& 10& 0\end{array}$$

• A. True
• B. False

Answer 1

The correct option is B

False

We put the given coordinates in the equation and see if the equation is satisfied.

Putting x = 1, y = 6 in the equation 2x – y + 4 = 0 =>

(2x1) – 6 + 4 = 0

Equation holds. Hence, the point (1, 6) lies on 2x – y + 4 = 0

Putting x = 2, y = 8 in the equation 2x – y + 4 = 0 =>

(2x2) – 8 + 4 = 0

Equation holds. Hence, the point (2, 8) lies on 2x – y + 4 = 0

Putting x = 4, y = 10 in the equation 2x – y + 4 = 0 =>

(2x4) – 10 + 4 =/= 0

Equation does not hold. Hence, the point (4, 10) does not lie on 2x – y + 4 = 0

Putting x = -2, y = 0 in the equation 2x – y + 4 = 0 =>

(2x-2) – 0 + 4 = 0

Equation holds. Hence, the point (-2, 0) lies on 2x – y + 4 = 0