On a cartesian plane, the diagonal of a square lies on the x-axis. Which of the following is the equation of one of its sides?
Answers
Given : On a cartesian plane, the diagonal of a square lies on the x-axis
To Find : equation of one of its sides
Solution:
Angle between side of square and diagonal of Square = 45°
Angle of sides with x axis can be 45° , 135° , 225° , 315°
Slope of the line = tan (angle with x axis)
tan 45° = 1
tan 135° = -1
tan 225° = 1
tan 315° = - 1
Equation of line
y = mx + c
m = slope
=> y = ±x + c
y = x + c
or y = -x + c => x + y = c
are possible Equation of side of square
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