IIT – JEE Maths

Sharpen your problem-solving skills with 10 handpicked previous years’ IIT JEE Mathematics questions. Designed to mirror the real exam experience, this quiz will test your grasp on essential concepts across algebra, calculus, coordinate geometry, and more.✅ Attempt all questions✅ Each correct answer earns 4 marks✅ Review your answers with detailed explanations after submission Best of luck! 🧠✍️ IIT JEE Maths Practice Paper – Part 10 (Previous Years’ Questions) If \( \int (3x^2 + 4x + 2) dx \), the result is: a) x³ + 2x² + 2x + C b) x³ + 2x² + x + C c) x³ + 2x² + 4x + C d) x³ + x² + x + C The limit \( \lim_{x \to 0} \frac{\sin 3x}{x} \) equals: a) 1 b) 3 c) 0 d) ∞ If A = {1,2,3}, number of subsets of A is: a) 3 b) 8 c) 6 d) 4 The derivative of \( e^{2x} \) is: a) 2e^x b) e^{2x} c) 2e^{2x} d) e^x The value of \( \cos 60^\circ \) is: a) 0 b) 1 c) 1/2 d) √3/2 If \( x = 2 \) is a solution of \( x^2 – kx + 4 = 0 \), then k is: a) 6 b) 4 c) 3 d) 2 The general solution of \( \frac{dy}{dx} = y \) is: a) y = x b) y = e^x c) y = Ce^x d) y = Cx The number of permutations of the word “MATH” is: a) 24 b) 12 c) 16 d) 4 The distance between (1,2) and (4,6) is: a) 5 b) 4 c) √13 d) √25 If \( \tan \theta = 1 \), then \( \theta \) is: a) 30° b) 90° c) 45° d) 60° Submit

🧮 Part 9 – IIT JEE Maths Practice Paper (PYQs)Sharpen your problem-solving skills with this fresh set of 10 handpicked previous years’ IIT JEE Mathematics questions. Each question has detailed explanations to help you understand the concept behind the correct answer. Ideal for self-assessment and revision. All the best! IIT JEE Maths Practice – Part 9 Test your understanding with 10 previous years’ questions from Vector Algebra, Calculus, and Coordinate Geometry. The angle between vectors a = i + 2j and b = 2i + 4j is: 0° 30° 45° 60° The derivative of sin⁻¹(x) is: 1/√(1−x²) x/√(1−x²) −1/√(1−x²) √(1−x²) Area of triangle with vertices (0,0), (1,0), (0,1) is: 1 0.5 2 1.5 If A is a 3×3 matrix and |A| = 5, then |2A| is: 40 80 160 8 The slope of the line perpendicular to y = 3x + 7 is: −1/3 3 −3 1/3 The value of lim(x→0) (sin x)/x is: 0 1 ∞ Does not exist A function is even if: f(x) = −f(x) f(x) = f(−x) f(−x) = −f(x) f(x) = 0 The integral of 1/x dx is: x ln|x| + C 1/x² e^x The point (2,3) lies on which quadrant? I II III IV Distance between points (0,0) and (3,4): 5 7 4 3 Submit Answers

Prepared by Nigam Sir, Practice 10 fresh IIT JEE Maths questions based on previous year papers. This set covers key concepts from algebra, trigonometry, calculus, and matrices. ✅ Instant feedback with explanations🧪 4 marks per correct answer📘 No login or backend needed Attempt the quiz below and check how many you get right! IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 8) 1. If x + y = 10 and x – y = 4, what is the value of x? 3 5 7 8 2. The value of sin(30°) is: √3/2 1/2 1 0 3. What is the value of the determinant |1 2; 3 4|? 2 10 –2 –10 4. Which of the following is a solution to x² – 4 = 0? x = 2 only x = –2 only x = ±2 x = 0 5. The value of log₁₀(1) is: 1 0 undefined 10 6. If A = πr² and r = 3, then A = 6π 9π 12π π/3 7. Which of the following functions is even? f(x) = x³ f(x) = sin(x) f(x) = cos(x) f(x) = tan(x) 8. What is the slope of y = 3x + 2? 3 2 1 –3 9. d/dx (x³) = ? x² 2x 3x² 3x 10. If A = {1, 2}, B = {3, 4}, number of elements in A × B is: 2 3 4 6 Submit

Revise important JEE Maths concepts with this set of 10 MCQs from previous year papers. Covers algebra, calculus, matrices, trigonometry, and more. ✅ Instant evaluation with score and explanations📘 4 marks per correct answer⚙️ No login or backend required Perfect for quick practice and concept reinforcement! IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 7) 1. The sum of the roots of the equation 2x² – 3x + 5 = 0 is: –5/2 –3/2 3/2 5/2 2. The domain of the function f(x) = √(x – 2) is: x > 2 x ≥ 2 x < 2 All real x 3. What is the value of tan(45°)? 0 1 √3 Undefined 4. If A = [1 2; 3 4], then trace of A is: 4 5 6 7 5. The number of ways to arrange the letters of the word “MATH” is: 12 16 24 32 6. If log₁₀(100) = x, then x = 1 0 2 10 7. Derivative of sin²(x) is: 2sin(x) 2sin(x)cos(x) cos²(x) 2cos(x) 8. The angle between two perpendicular lines is: 0° 45° 60° 90° 9. Area of a triangle with base = 6 and height = 4 is: 12 24 18 10 10. ∫ cos(x) dx = sin(x) + C –sin(x) + C cos(x) + C tan(x) + C Submit

Boost your JEE preparation with 10 carefully selected Maths questions from past exams. This practice quiz covers essential topics like calculus, algebra, coordinate geometry, and trigonometry. ✅ Instant score with explanations🧪 4 marks per correct answer📘 No login or registration needed Test your concepts now and learn from your mistakes! IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 6) 1. The number of 4-digit numbers divisible by 5 is: 1800 2000 1900 2100 2. Value of sin(2θ) if sin(θ) = 3/5 and θ ∈ (0, π/2): 24/25 12/25 18/25 36/25 3. The distance between points (3, 4) and (0, 0) is: 3 4 5 7 4. The value of (log₁₀2 + log₁₀5) is: log₁₀(10) 0 2 log₁₀(1) 5. If f(x) = x², then f(–x) is: –x² x x² –x 6. The slope of a line perpendicular to y = –2x + 3 is: –2 2 1/2 1/–2 7. The minimum value of (x – 4)² is: –4 0 4 16 8. d/dx of e^(2x + 1) is: e^(2x + 1) 2e^(2x + 1) e^x x·e^(2x) 9. ∫ x dx = x² x²/2 + C x ln|x| + C 10. If a matrix A has order 2×3, then it has: 5 elements 2 elements 6 elements 3 elements Submit

Sharpen your JEE preparation with this practice set based on actual previous years’ Maths questions. This quiz includes 10 multiple-choice questions covering key topics like calculus, algebra, coordinate geometry, and trigonometry. ✅ Instant results with explanations🧪 4 marks per correct answer📘 Designed to test concepts, not just memory Click Submit after attempting all questions to check your score and review detailed feedback! IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 5) 1. If A = {1, 2, 3}, number of subsets of A is: 6 8 3 9 2. Derivative of tan(x) is: sec(x) sec²(x) cos²(x) 1/cos²(x) 3. The equation x² – 5x + 6 = 0 has roots: 2 and 3 –2 and –3 1 and 6 0 and 6 4. If sin(θ) = 1/2, θ in [0, π], then θ = π/6, 5π/6 π/3 π/2 2π/3 5. The sum of first n natural numbers is: n(n–1)/2 n(n+1)/2 n² n² + n 6. What is the slope of line 3x + 2y – 5 = 0? 2/3 –3/2 –2/3 3/2 7. The function f(x) = |x| is: Differentiable everywhere Not continuous Continuous but not differentiable at x = 0 Odd function 8. The value of ∫₀^π/2 sin(x) dx is: 0 1 π/2 –1 9. logₐ(aⁿ) = ? logₐ(a)ⁿ aⁿ n 1 10. If x² + y² = 25, then x and y lie on a: Circle Line Ellipse Hyperbola Submit

Test your knowledge with 10 multiple-choice questions from previous IIT JEE papers. Instantly view your score, correct answers, and detailed explanations. A great way to revise key math concepts before the exam! IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 4) 1. The general solution of cos(x) = 1/2 is: x = π/3 + 2nπ x = π/3, 5π/3 + 2nπ x = 2π/3 + nπ x = π/2 + nπ 2. If A = {1, 2} and B = {x, y, z}, number of injective functions from A to B is: 6 3 2 4 3. lim(x→0) (1 – cos x)/x² equals: 0 1 1/2 ∞ 4. The function f(x) = x³ is: Even Odd Neither Periodic 5. The range of the function f(x) = sin⁻¹(x), x ∈ [–1, 1] is: (–π/2, π/2) [–π/2, π/2] [0, π] (0, π) 6. What is the distance between the parallel lines 3x – 4y = 7 and 3x – 4y = –5? 3 2 2.4 1.5 7. If y = e^(3x), then dy/dx = ? 3e^(3x) e^(3x) x·e^(3x) 1/e^(3x) 8. The number of 3-digit numbers divisible by 7 is: 127 128 129 130 9. ∫ x·cos(x) dx = ? x·sin(x) + cos(x) + C x·cos(x) + sin(x) + C x·sin(x) + cos(x) + C x·sin(x) + C 10. If tan A = 1 and A is acute, then A = 90° 30° 45° 60° Submit

This is the 3rd set of IIT JEE Maths Practice Paper – Previous Years’ Questions, in this set you will get questions to solve and see and test your knowledge. IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 3) 1. The value of (sin²θ + cos²θ) is: 0 1 sin(2θ) cos(2θ) 2. If A is a 2×2 matrix such that A² = I, then which of the following is true? A is singular det(A) = 0 A⁻¹ = A A⁻¹ = -A 3. If the roots of ax² + bx + c = 0 are real and equal, then: b² – 4ac > 0 b² – 4ac = 0 b² – 4ac < 0 b = c 4. Domain of the function f(x) = √(x² – 4): (-∞, ∞) (–2, 2) (–∞, –2] ∪ [2, ∞) [–2, 2] 5. If A = {1,2,3} and B = {4,5}, then the number of functions from A to B is: 6 8 2 16 6. What is the minimum value of f(x) = x² – 6x + 13? 4 5 6 7 7. dy/dx of y = ln(x² + 1) is: 2x / (x² + 1) x / (x² + 1) 1 / (x² + 1) ln(2x) 8. Area of triangle with vertices (0,0), (4,0), and (0,3): 6 12 8 4 9. ∫dx / (1 + x²) equals: tan⁻¹(x) + C log(1 + x²) x / (1 + x²) sin⁻¹(x) + C 10. Equation of line with slope 2 and y-intercept 3 is: y = 2x + 3 y = 3x + 2 y = –2x + 3 y = x + 2 Submit

IIT JEE Maths Practice Paper – Previous Years’ Questions (Part 2) 1. The value of the determinant | 1 2 3; 4 5 6; 7 8 9 | is: 0 1 -1 3 2. If log₁₀(x) + log₁₀(2x+3) = 1, then x = ? 1 2 3 4 3. If sin(θ) = 3/5, and θ lies in the second quadrant, then cos(θ) = ? 4/5 -4/5 -3/5 5/4 4. Number of real roots of the equation x⁴ + x² + 1 = 0 is: 0 1 2 4 5. If A and B are independent events with P(A) = 0.4 and P(B) = 0.5, then P(A ∩ B) = ? 0.2 0.9 0.4 0.5 6. General solution of sin(x) = √3/2 is: x = π/3 + 2nπ x = π/3, 2π/3 + 2nπ x = π/3 + nπ x = π/3, 2π/3 + nπ 7. The function f(x) = |x – 3| is: Not continuous at x = 3 Differentiable at x = 3 Not differentiable at x = 3 Both continuous and differentiable at x = 3 8. Value of ∫₀^π sin(x) dx is: 0 2 1 -2 9. The distance between the points (3, 4) and (0, 0) is: 3 4 5 6 10. If x = log₁₀(2), then 10^x = ? 1 x 2 log₂(10) Submit

Note: After Submitting the form, check the bottom of this page to get explanation on answers. IIT JEE Maths Practice Paper 1 – Previous Years’ Questions 1. What is the value of the limit: lim(x→0) (sin x)/x? 0 ∞ 1 Does not exist 2. If A = {1,2,3}, the number of relations on A × A is: 512 729 64 81 3. Derivative of x³ + 2x² – 5x is: 3x² + 4x – 5 x² + 2x x² + 2x – 5 3x² – 2x + 5 4. The number of diagonals in a hexagon is: 6 9 12 15 5. The value of ∫x dx from 0 to 2 is: 2 4 1 None of these 6. The equation of a circle with center at (0,0) and radius 5 is: x² + y² = 25 x² + y² = 5 x + y = 5 (x-5)² + (y-5)² = 25 7. If tan θ = 1, then θ equals: 90° 60° 45° 30° 8. The sum of roots of x² – 5x + 6 = 0 is: 6 5 -5 -6 9. log₂(8) equals: 1 2 3 4 10. If f(x) = x², then f(3) = ? 6 3 9 27 Submit