First slide

Cartesian plane

Question

The angle of rotation of the axes so that the equation $\sqrt{3} x - y + 5 = 0$ may be reduced to form y=constant is

Moderate

A

$\frac{π}{3}$
B

$\frac{π}{2}$
C

$\frac{π}{6}$
D

$\frac{π}{4}$

Solution

$\sqrt{3} x - y + 5 = 0; a = \sqrt{3}, b = - 1$
$∴ θ = \tan^{- 1} (- \frac{a}{b}) = \tan^{- 1} \sqrt{3} = \frac{π}{3}$

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