The equation of set of lines which are a...

The equation of set of lines which are at a constant distance 2 units from the origin is

A

x+y+2=0

B

x+y+4=0

C

`x "cos" alpha + y "sin" alpha = 2`

D

`x "cos" alpha + y "sin" alpha = (1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

C

If normal to the line make an angle `alpha` with x-axis, then equation of line is
`x"cos"alpha+y"sin"alpha = p,` where p is distance of line from origin.
Here, p=2
So, equation of lines is `x"cos"alpha+y"sin"alpha = 2.`

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