. Let S be the set of all real roots of the equation, 3 x (3x – 1) + 2 = |3x – 1| + | 3x – 2|. Then S:

Question:

Let $S$ be the set of all real roots of the equation, $3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x}-2\right|$. Then $S:

  1. contains exactly two elements.

  2. is a singleton.

  3. is an empty set.

  4. contains at least four elements.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometric Equations and Inequations chapter.
JEE Main Previous Year Jan. 8, 2020 (II)

Solution:

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