First slide

Cartesian plane

Question

The angle of rotation of the axes so that the equation ax + by + c = 0 may be reduced to X = p is

Moderate

A

$\tan^{- 1} \frac{b}{a}$
B

$\tan^{- 1} \frac{a}{b}$
C

$\frac{π}{2}$
D

$\frac{π}{3}$

Solution

$a (X \cos θ - Y \sin θ) + b (X \sin θ + Y \cos θ) + c = 0$
coefficient of Y = 0

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