(a)
The dipole moment of two dipoles inclines at an angle $\theta$ is given by the equation $\pi = \sqrt{x^{2} + y^{2} + 2xy\cos{\theta,\cos{90 = 0,}}}$since, the angle increases from $90 - 180$, the value of $\cos\theta$ becomes more and more $- ve$ and hence resultant decreases. Thus, dipole moment is maximum, when, $\theta = 90{^\circ}$