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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.

Straight Line Eq

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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.

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