Question

If equation of line is x + y=2 then find the angle made by line with x-axis.

(a) 45°

(b) 60°

(c) 30°

(d) 75°

I had been asked this question during an online exam.

Asked question is from Distance of a Point from a Line in division Straight Lines of Mathematics – Class 11

Answer 1

Right answer is (a) 45°

The best explanation: Given equation is x + y=2. Reducing the above equation to normal form

(x + y)/√2 =√2.

x cos⁡45° + y sin 45° = √2

Angle made with x-axis is 45°.