Category: JEE-M-PYQ

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Question 1: Let α, β be the roots of the equation x² – x + p = 0 and γ, δ be the roots of the equation x² – 4x + q = 0; p, q ∈ Z. If α, β, γ, δ are in G.P., then |p + q| equals: (A) 16 (B) 32…

JEE MAIN 2025 (Online) 5th April Morning Shift

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Question 1: Let a, b ∈ C. Let α, β be the roots of the equation x² + ax + b = 0. If β – α = √11 and β² – α² = 3i√11, then (β³ – α³)² is equal to: (A) 160 (B) 176 (C) 194 (D) 187 ▶ Click here to Check…

JEE MAIN 2025 (Online) 6th April Evening Shift

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Question 1: Let f : R → R be defined as f(x) = (2x² – 3x + 2)/(3x² + x + 3). Then f is: (A) both one-one and onto (B) one-one but not onto (C) onto but not one-one (D) neither one-one nor onto ▶ Click here to Check Answer & View Solution Correct…

JEE MAIN 2025 (Online) 6th April Morning Shift

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Question 1: Let [t] denote the greatest integer function. If the domain of the function f(x) = sin⁻¹((x + [x])/3) is [α, β), then α² + β² is equal to: (A) 2 (B) 5 (C) 10 (D) 13 ▶ Click here to Check Answer & View Solution Correct Answer: Detailed Verification: [Solution space] Question 2:…

JEE MAIN 2025 (Online) 8th April Evening Shift

Sep 4, 2026

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Question 1: Consider the relation R on the set {-2, -1, 0, 1, 2} defined by (a, b) ∈ R if and only if 1 + ab > 0. Then, among the statements: I. The number of elements in R is 17 II. R is an equivalence relation (A) Only I is true (B) Only…

Sets-JEE-Mains-PYQ’s

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Mathematics Questions Let and . Then (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let and . Then (A) (B) (C) neither nor (D) Click to View Answer Correct Answer: [ ] Let and . Then is equal to: (A) 4 (B) 8 (C) 6 (D) 2 Click to View Answer…

Quadratic Equations-JEE-Mains-PYQ’s

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SECTION A: Quadratic Equations 1. The sum of the squares of the roots of and the squares of the roots of , is: (A) 24 (B) 26 (C) 36 (D) 30 Click to View Answer Correct Answer: [Insert Correct Answer] 2. The number of real roots of the equation is: (A) 4 (B) 3 (C)…

Inverse Trigonometric Functions-JEE-Mains-PYQ’s

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Mathematics Questions Considering the principal values of inverse trigonometric functions, the value of the expression is equal to : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] If the domain of the function is , then is equal to (A) 4 (B) 2 (C) 5 (D) 3 Click to View Answer…

Applications of Derivatives-JEE-Mains-PYQ’s

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Mathematics Questions Consider the following three statements for the function defined by : (I) is differentiable at all . (II) is increasing in . (III) is decreasing in . Then. (A) Only (I) is TRUE. (B) Only (I) and (III) are TRUE. (C) Only (II) and (III) are TRUE. (D) All (I), (II) and (III)…

Methods of differentiation-JEE-Mains-PYQ’s

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