(a) Point $P$ lies on equatorial lines of magnet (1) and axial line of magnet (2) as shown
$B_{1} = \frac{\mu_{0}}{4\pi}.\frac{M}{d^{3}} = 10^{- 7} \times \frac{1000}{(0.1)^{3}} = 0.1T$
$B_{2} = \frac{\mu_{0}}{4\pi}.\frac{2M}{d^{3}} = 10^{- 7} \times \frac{2 \times 1000}{(0.1)^{3}} = 0.2T$
$\therefore B_{net} = B_{2} - B_{1} = 0.1\ T$