First slide

Cartesian plane

Question

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

Moderate

A

$2 X - 3 Y - 4 = 0$
B

$2 X + 3 Y - 4 = 0$
C

$3 X - 2 Y + 4 = 0$
D

$3 X + 2 Y + 4 = 0$

Solution

$x = X \cos 180^{0} - Y \sin 180^{0}$
$y = X \sin 180^{0} + Y \cos 180^{0}$
x=-X,y=-Y

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