(a) $i_{p} = k\left( V_{p} + \mu V_{g} \right)^{3/2}mA$
$\Rightarrow 4 = k(200 - 10 \times 4)^{3/2} = k \times (160)^{3/2}$ …(i)
and $i_{p} = k(160 - 10 \times 7)^{3/2} = k \times (90)^{3/2}$ …(ii)
From equation (i) and (ii), we get
$i_{p} = 4 \times \left( \frac{90}{160} \right)^{3/2} = 4 \times \left( \frac{3}{4} \right)^{3} = 1.69\ mA$