Question

A line passing through A(1,-2) has slope 1. The points on the line at a distance of $4 \sqrt{2}$ units from A are

• A. (3, -6), (5, 2)
• B. (-3, -6), (5, -2)
• C. (-3, -6) (5,2)
• D. (3, 6) (-5,2)

Answer 1

Answer: (C)

(-3, -6) (5,2)

Answer 2

$(x_1 , y_1) = (1,-2)$ $\theta = \frac{\pi}{4}, r = 4 \sqrt{2} \left(x,y\right) = \left(x_{1} \pm r \cos\theta, y_{1} \pm r \sin\theta\right)$