AP EAMCET202123 Aug 2021Morning ShiftMathematicsStraight LinesActual

Find the equation of a straight line which passes through the point (-1,-1) and makes an angle 150^ with positive direction of X -axis.

Options

A3 x+y=1
B3 y+x+(1+ 3 )=0
Cx+ 3 y+( 3 -1)=0
Dx+y=0

Correct answer

B. 3 y+x+(1+ 3 )=0

Step-by-step solution

Now, = 150^ = ( -30^ ) =- 30^ =- 1 3 Slope of given line =- 1 3 Since, line passes through (-1,-1) . Equation of line will be array rlrl y-y₁ & =m (x-x₁ ) & & y+1 & =- 1 3 (x+1) & & 3 y+ 3 & =-x-1 & or 3 y+x+( 3 +1) & =0 array

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