Questions
Slope of a line L is 1. The points on the line L at a distance of 2 units from the point which lies on the line L are
a
42,42,22,22
b
42,42,−22,−22
c
−42,−42,22,22
d
42,−42,−22,22
detailed solution
Correct option is A
The inclination of the line L is θ=tan−11=π4The coordinates of a point on the line L at a distance of r units from x1,y1 are x=x1±rcosθ and y=y1±rsinθ here θ is inclination of the line θHence the required coordinates are x=x1±rcosθ=32±212=32±2=42,22and y=y1±rsinθ=32±212=32±2=42,22Therefore, the required points are 42,42,22,22Talk to our academic expert!
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