jee_main_2024_27_jan_morning - Continuity and Differentiability Topics

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QUESTION #13 Continuity at a Point
Consider the function: f(x) = cases (a(7x-12-x²))/(b(x²-7x+12)) & , x < 3 (2 (x-3))/(x-[x]) & , x > 3 b & , x = 3 cases Where [x] denotes the greatest integer less than or equal to x. If S denotes the set of all ordered pairs (a, b) such that f(x) is continuous at x=3 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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