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Find the equation of the line which sati...

Find the equation of the line which satisfy the given conditions : Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive xaxis is `30^@` .

Text Solution

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Data given in the question is for normal form of the line.
Standard equation of normal form is `x "cos" alpha + y "sin" alpha =p.`
`therefore p=5 "units and " alpha = 30^(@)`.
Thus, the required equation of the given line is
`x "cos" 30^(@) + y "sin" 30^(@) = 5`
`"or " sqrt(3) x+y = 10`
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