NCERT Exemplar - MCQs
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Last updated at July 21, 2026 by Teachoo
This question is similar to Ex 5.1, 3 (c) - Chapter 5 Class 12 - Continuity and Differentiability
Transcript
Question 12 The function f (x) = (4 ā š„^2)/(4š„ āš„^3 ) is (A) discontinuous at only one point (B) discontinuous at exactly two points (C) discontinuous at exactly three points (D) none of these f(x) = (4 ā š„^(2 ) )/(4š„ ā š„^3 ) = (2^2 ā š„^(2 ) )/(š„(4 ā š„^2)) = ((š ā š)(š + š))/(š(š ā š)(š + š)) If we cancel out (2 ā š„) and (2 + š„) Then, we have to assume that x ā 2, and x ā ā2 So, our f(x) becomes f(x) = š/š This function is not defined for x = 0 Thus, f(x) is defined for all points except x = 0, 2, ā2 ā“ f(x) is discontinuous at exactly 3 points So, the correct answer is (C)
