JEE Math Practice Question

Let $$A=\left(\begin{array}{cc}\mathrm{m} & \mathrm{n} \\ \mathrm{p} & \mathrm{q}\end{array}\right), \mathrm{d}=|\mathrm{A}| \neq 0$$ and $$\mathrm{|A-d(A d j A)|=0}$$. Then

1. A.$$1+\mathrm{d}^{2}=\mathrm{m}^{2}+\mathrm{q}^{2}$$
2. B.$$1+d^{2}=(m+q)^{2}$$
3. C.$$(1+d)^{2}=m^{2}+q^{2}$$
4. D.$$(1+d)^{2}=(m+q)^{2}$$