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The condition that the equation lx +my +...

The condition that the equation `lx +my +n = 0` represents the equatio of a straight line in the normal form is

A

`l^(2) +m^(2)+- 0, n gt 0`

B

`l^(2) +m^(2)+-0, n lt0`

C

`l^(2)+m^(2) = 1, n lt 0`

D

`l^(2) +m^(2) = 1, n gt 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Equation of the line in normal form is `x cos alpha +y sin alpha =p`,
`:. L = cos alpha, m = sin alpha, n =- p`
`:. l^(2) +m^(2) = 1` and `n lt 0`
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