Question

(03.01 MC)

Answer 1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m_{1}=\frac{2-0}{0-2}$

$m_{1}=-1$

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

$m_{2}=\frac{0-4}{4-0}$

$m_{2}=-1$

Since, $m_{1}=m_{2}=-1$

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.