Question

If the axes are rotated through an angle ${180}^o$ then the equation $2x-3y+4=0$ becomes

• A. $2x-3y-4=0$
• B. $2x+3y-4=0$
• C. $3x-2y+4=0$
• D. $3x+2y+4=0$

Answer 1

The correct option is A $2x-3y-4=0$

$\text{Given,}$

$\text{the equation of a line}$

$2x-3y+4=0$

inclination of line is $\frac{2}{3}$ which is in first quadrant.

$\text{Now, the given line is rotated through}$

${180}^{\circ }\text{, then, the line is in}3\text{rol quadrant}$

$\text{As we know}$

$\tan \theta \text{is positive in third quadrant.}$

$\therefore \text{option}A=2x-3y+4=0$