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Mathematics

Find the equation of a straight line parallel to x-axis which is at a distance

(i) 2 units above it

(ii) 3 units below it

Straight Line Eq

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Answer

(i) We know that the equation of line parallel to x-axis is y = b, where b is the value of the ordinate.

Since the line is 2 units above so, value of ordinate = b = 2.

∴ Equation of the line ⇒ y = 2 or y - 2 = 0.

Hence, the equation of straight line is y - 2 = 0.

(ii) We know that the equation of line parallel to x-axis is y = b, where b is the value of the ordinate.

Since the line is 3 units below so, value of ordinate = b = -3.

∴ Equation of the line ⇒ y = -3 or y + 3 = 0.

Hence, the equation of straight line is y + 3 = 0.

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