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JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1
If aN={an:n∈N:bN={nb:n∈N}a N=\{a n: n \in N: b N=\{n b: n \in N\}, cN={cN:n∈N}c N=\{c N: n \in N\} and bN∩cN=dNb N \cap c N=d N, where a,b,c∈Na, b, c \in N and b,cb, c are coprime, then
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Correct option: C
d=bcd=b c
Option A (0) is correct because the equation x3−3x−k=0x^3 - 3x - k = 0 cannot have two distinct real roots in the interval (0, 1) based on Rolle's theorem.

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