A line passing through the point … makes an angle of … with the positive direction of …-axis. If this line is rotated about A through an angle of … in the clockwise direction, then its equation in the new position is :

Straight Lines and Pair of Straight Lines

JEE Main 2024 · 30 Jan, Morning shift · Q5623

MathematicsMedium128×since 2002Q5623

A line passing through the point

\mathrm{A}(9,0)

makes an angle of

30^{\circ}

with the positive direction of

x

-axis. If this line is rotated about A through an angle of

15^{\circ}

in the clockwise direction, then its equation in the new position is :