f: N \to A and g: N \to B are two onto functions such that f(n)=[n \sec ^{2} \theta] and g(n)=[n \cos e c^{2} \theta], for some \theta. If \sec ^{2} \theta is irrational, then (where [.] denotes the greatest integer function)

A \cap B is non-empty finite set

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

Question : 41 of 54

Marks: +1, -0

f:N→A and g:N→B are two onto functions such that f(n)=[nsec2θ] and g(n)=[n‌cos‌e‌c2‌θ], for some θ. If sec2θ is irrational, then (where [.] denotes the greatest integer function)

A∩B=φ
A∪B=N
f and g are bijective
A∩B is non-empty finite set

Validate

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