Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is a transcendental number”.<br> Statement –1: r is equivalent to either q or p <br> Statement –2: r is equivalent to $\sim (p\leftrightarrow \sim q)$.

Question

( A ) Statement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1.
( B ) Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement -1
( C ) Statement -1 is false, Statement -2 is true
( D ) Statement - 1 is true, Statement - 2 is false