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  • The line  is rotated through an angle <img alt="\mathrm{\pi /

The line \mathrm{3 x-4 y+7=0}  is rotated through an angle \mathrm{\pi / 4} in the clockwise direction about the point (-1,1). The equation of the line in its new position is

Option: 1

\mathrm{7 y+x-6=0}


Option: 2

\mathrm{7 y+x+6=0}


Option: 3

\mathrm{7 y-x-6=0}


Option: 4

\mathrm{7 y-x+6=0}


Answers (1)

best_answer

As (-1,1) is a point on \mathrm{3 x-4 y+7=0}, he rotation in possible.

\mathrm{\text{Slope of line in its new position }=\frac{\frac{3}{4}-1}{1+\frac{3}{4}}=\frac{1}{7}}

\mathrm{\text{The required equation is }=\mathrm{y}-1=-\frac{1}{7}(\mathrm{x}+1) \: or, 7 \mathrm{y}+\mathrm{x}-6=0}

Posted by

Kuldeep Maurya

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