JEE Main 2008 Mathematics question
Not in JEE syllabus
Let be the statement " is an irrational number", be the statement " is a transcendental number", and be the statement " x is a rational number iff is a transcendental number". Statement −1 : is equivalent to either or Statement −2 : is equivalent to .
Answer: (4)
Solution
r is , which is true exactly when one of p, q is true and the other false — the exclusive "either q or p": Statement 1 is true. Now
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