Mathematics
Find the equation of a straight line parallel to y-axis which is at a distance
(i) 3 units to the right
(ii) 2 units to the left.
Answer
(i) We know that the equation of line parallel to y-axis is x = a, where a is the value of the abscissa.
Since the line is 3 units to the right so, value of abscissa = a = 3.
∴ Equation of the line ⇒ x = 3 or x - 3 = 0.
Hence, the equation of straight line is x - 3 = 0.
(ii) We know that the equation of line parallel to y-axis is x = a, where a is the value of the abscissa.
Since the line is 2 units to the left so, value abscissa = a = -2.
∴ Equation of the line ⇒ x = -2 or x + 2 = 0.
Hence, the equation of straight line is x + 2 = 0.