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Write the equation of the line : parallel to the X-axis and at a distance of 4 unit form the point (−2, 3) - Mathematics and Statistics

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Question

Write the equation of the line :

parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)

Sum

Solution

Equation of a line parallel to the X-axis is of the form y = k (k > 0 or k < 0).

Since the line is at a distance of 4 units from the point (− 2, 3),

k = 4 + 3 = 7 or k = 3 – 4 = – 1

∴ The equation of the required line is y = 7 or y = – 1.

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Equations of Line in Different Forms
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Chapter 5: Straight Line - Exercise 5.3 [Page 114]

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