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Definite Integration question

2014 · Shift 1 · Q37
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  2. /JEE Advanced
  3. /Mathematics
  4. /Definite Integration
  5. /2014 · Shift 1 · Q37

Definite Integration question

2014 · Shift 1 · Q37

JEE AdvancedMathematicsDefinite IntegrationMultiple correct+3 / −1
Let a ∈\in∈ R and f : R →\to→ R be given by f(x) = x5 −-− 5x + a. Then,
  1. A
    f(x) has three real roots , if a > 4
  2. B
    f(x) has only one real root, if a > 4
  3. C
    f(x) has three real roots, if a < −-− 4
  4. D
    f(x) has three real roots, if −-− 4 < a < 4
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