JEE Main Maths Repeated Question 2025 For Session 2

JEE Main Maths Repeated Question 2025 For Session 2 is given here for the following topics: number of roots and relation between roots.

Arni Sinha

Updated on -Apr 1, 2025 | 10:59 PM IST

JEE Main Maths Repeated Question 2025 For Session 2 is given here (Image Credits: pexels.com).

JEE Main Maths Repeated Question 2025 For Session 2: Since the JEE Main Session 2 examination is just a few days away, many students who have registered to appear for the entrance examination are preparing for the test vigorously. Students must know that the JEE Main Session 2 Maths 2025 is the most important section in the examination since it has a higher priority in the tie-breaking criteria. Therefore, scoring more in Maths is very important. For the ease of the candidates, the JEE Main Maths Repeated Question 2025 For Session 2 has been provided here on the number of roots and relation between roots.

Students are advised to practice these questions from the JEE Main Session 2 Maths Important Topics 2025 given here to be well-prepared.

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JEE Main Maths Repeated Question 2025 For Session 2

Students can check the JEE Main Maths Repeated Question 2025 For Session 2 below:

Question: Let αθ, and ẞθ, be the distinct roots of 2x² + (cosθ)x - 1 = 0, θ∈(0, 2pi) If m and M are the minimum and the maximum values of aθ⁴ + bθ⁴, then 16(M + m) equals __________.
Year: JEE Main 2025 22nd January Evening Shift

Question: If the set of all values of a, for which the equation 5x³ - 15x - a = 0 has three distinct real roots, is the interval (α, β), then β-2α is equal to _____________.
Year: JEE Main 2025 23rd January Morning Shift

Question: f is the equation a(b - c)x2 + b(c - a)x + c(a - b) = 0 has equal roots, where a + c = 15 and b = 36/5 then a2 + c2 is equal to _____________.
Year: JEE Main 2025 23rd January Morning Shift

Question: The number of distinct real roots of the equation | |x + 1||x + 3| - 4|x + 2| + 5 = 0 is _____________.
Year: JEE Main 2024 8th April Evening Shift

Question: The number of distinct real roots of the equation |x||x + 2| - 5|x + 1| - 1 = 0 is ____________________.
Year: JEE Main 2024 5th April Morning Shift

Question: The number of real solutions of the equation x(x² + 3 |x| + 5|x - 1| + 6|x - 2|) = 0 is _____________________.
Year: JEE Main 2024 30th January Evening Shift

Question: Let ⍺ and β be the roots of the equation px² + qx - r = 0, where p ≠ 0. If p, q and r be the consecutive terms of a non constant G.P. and 1/⍺ + 1/β = ¾, then the value of (⍺ - β)² is ______________.
Year: JEE Main 2024 1st February Evening Shift

Question: Let S = {x ∈ R : (√3 + √2)ˣ + (√3 - √2)ˣ = 10}. Then the number of elements in S is ______________.
Year: JEE Main 2024 1st February Morning Shift

Question: Let ⍺, β ∈ N be roots of the equation x²- 70x + λ = 0, where λ/2, λ/3 ∈ N. If λ assumes the minimum possible value, then (√(α-1)+√(β-1))(λ+35)/|α-β|is equal to ____________.
Year: JEE Main 2024 30th January Morning Shift

Question: 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∈R. Then, the number of elements in S is ____________.
Year: JEE Main 2024 31st January Morning Shift

Question: The sum of all the real roots of the equation (e²x - 4) (6e²x - 5ex + 1) = 0 is _______________.
Year: JEE Main 2022 24th June Evening Shift

Question: Let m and n be the numbers of real roots of the quadratic equations x² - 12x + [x] + 31 = 0 and x² - 5|x + 2| - 4 = 0 respectively, where [x] denotes the greatest integer ≤ x. Then m² + mn
+ n² is equal to ___________.
Year: JEE Main 2023 8th April Evening Shift

Question: If the value of real number a > 0 for which x² - 5ax + 1 = 0 and x² - ax - 5 = 0 have a common real root is 3/√2β then β is equal to _______________.
Year: JEE Main 2023 30th January Evening Shift

Question: The sum of the cubes of all the roots of the equation x⁴ -3x³ - 2x² +3x + 1 = 10 is _________________.
Year: JEE Main 2022 26th June Morning Shift

Question: The minimum value of the sum of the squares of the roots of x³ + (3 - a)x + 1 = 2a is _______________.
Year: JEE Main 2022 26th July Evening Shift

Question: The number of distinct real roots of the equation x⁵ (x³ - x² - x + 1) + x(3x³ - 4x² - 2x + 4) - 1 = 0 is ___________.
Year: JEE Main 2022 26th July Morning Shift

Candidates are advised to practice the JEE Main Session 2 Maths Important Questions 2025 given above for better performance.

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JEE Main Maths Repeated Question 2025 For Session 2 is given here for the following topics: number of roots and relation between roots.

JEE Main Maths Repeated Question 2025 For Session 2

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