Particle $A$ moves along the $X$-axis with a uniform velocity of magnitude $10 \ m/s$. Particle $B$ moves with a uniform velocity of $20 \ m/s$ along a direction making an angle of $60^{\circ}$ with the positive direction of the $X$-axis as shown in the figure. The relative velocity of $B$ with respect to $A$ is

  • A
    $10 \ m/s$ along the $X$-axis
  • B
    $10 \sqrt{3} \ m/s$ along the $Y$-axis (perpendicular to the $X$-axis)
  • C
    $10 \sqrt{5} \ m/s$ along the bisection of the velocities of $A$ and $B$
  • D
    $30 \ m/s$ along the negative $X$-axis

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