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Functions · 2020 · Shift 1

3 Mathematics questions from this JEE Advanced paper
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Functions · 2020 · Shift 1

3 Mathematics questions from this JEE Advanced paper

  1. Q20.If the function f : R → R is defined by f(x) = |x| (x − sin x), then which of the following statements is TRUE?
    Mathematics · Functions · MCQ
  2. Q33.Let f : [0, 2] → R be the function defined by f(x)=(3−sin(2πx))sin(πx−4π​)−sin(3πx+4π​) If α,β∈[0,2] are such that {x∈[0,2]:f(x)≥0}=[α,β]…
    Mathematics · Functions · Numerical
  3. Q35.For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the set of polynomials with real coefficients defined by S={(x2−1)2(a0​+a1​x+a2​x2+a3​x3):a0​,a1​,a2​,a3​∈R}…
    Mathematics · Functions · Numerical