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Let f : R  R be a function defined by f(x) = 2 2 x sin , if x 0, x 0, if x 0               Then which of the following statement is TRUE ? CAREER POIN T Date : 26 / 0 5 / 20 2 4 CAREER POINT CAREER POINT Kota H.O. : Career Point Ltd., CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 081-47250011 www.careerpoint.ac.in 2 Paper - 2

1. f(x) = 0 has infinitely many solutions in the interval 10 1 , 10        .
2. f(x) = 0 has no solutions in the interval 1 ,         .
3. The set of solutions of f(x) = 0 in the interval 10 1 0, 10       is finite.
4. f(x) = 0 has more than 25 solutions in the interval 2 1 1 ,         .

Correct answer: f(x) = 0 has more than 25 solutions in the interval 2 1 1 ,         .

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