jee_main_2024_31_jan_morning - Quadratic Equations Topics

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Sample Questions in this Chapter

QUESTION #1 Nature of Roots
For 0 < c < b < a, let (a + b - 2c)x² + (b + c - 2a)x + (c + a - 2b) = 0 and α ≠ 1 be one of its root. Then, among the two statements (I) If α in (-1,0), then b cannot be the geometric mean of a and c (II) If α in (0,1), then b may be the geometric mean of a and c
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QUESTION #20 Sign of Quadratic Expressions
Let S be the set of positive integral values of a for which (ax² + 2(a + 1)x + 9a + 4)/(x² - 8x + 32) < 0, x in R. Then, the number of elements in S is:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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