A line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlockwise direction through an angle 15°. If B goes to C in the new position, then the coordinates of C are

Slope of line AB=0-12-3==tan450∴        ∠BAX=450Given ∠CAB=150∴        ∠CAX=600∴Slope of line AC = tan 60º = 3Now, line AC makes an angle of 60° with positive direction of x-axis and AC=AB=3-22+1-02=2∴  Coordinates of C are 2+2cos600,0+2sin600i.e., 2+12,32