Mathematics · Coordinate Geometry
If the perpendicular drawn from the origin to a straight line makes an angle α with the positive direction of the x-axis and is of length p, then the equation of the straight line is x cos α + y sin α = p. If the perpendicular makes an angle α with the positive direction of the y-axis, then what is the equation of the line?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x cos α - y sin α = p
- 2y = x tan α + p
- 3x sin α + y cos α = p✓
- 4x cos α + y sin α = p
Correct answer
x sin α + y cos α = p
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