Maharashtra State BoardHSC Science (Electronics) 11th
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Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0 - Mathematics and Statistics

Sum

Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0

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Solution

Slope of the line 3x − y + 23 = 0 is `(-3)/(-1)` = 3.

Since the required line is perpendicular to this line, the slope of the line is `-1/3`.

Since x-intercept of the line is 3, the line is passing through the point (3, 0).

∴ equation of the required line is

y − 0 = `-1/3(x - 3)`

∴ 3y = − x + 3

∴ x + 3y = 3

  Is there an error in this question or solution?
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