Maths-

General

Easy

Question

# If a line AB makes an angle with OX and is at a distance of units from the origin then the equation of AB is

- x sin ‐y cos
- x cos y sin
- x sin y cos
- x cos ‐y sin

## The correct answer is: x sin ‐y cos

### We should find the equation of the line AB

Equation of line,

$∴y=tanθx+c$ $c<0$ [from diagram]

by given distance from the origin,

$c=cosθ−p $

$∴y=xtanθ−cosθp $

$xsinθ−ycosθ=p$

Hence choice 1 is correct

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