JEE MATH APEX

Tag: physics

  • FORMULA LIBRARY : COMPLEX NUMBERS

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX COMPLEX NUMBERS — JEE MATH APEX — JEE MATH APEX 1. Definition & Representation 📌 Complex Number Forms • Standard form: z = a + bi  (where a, b ∈ R, i² = −1) • Real part: Re(z) = a…

  • JEE MAIN 2025 (Online) 8th April Evening Shift

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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…

  • JEE MAIN PART TEST 1

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    Question 1: Let A = {x : |x² – 17| ≤ 8} and B = {x : |x – 2| > 2}. Then which of the following is correct? (A) A ∪ B = (-∞, -3] ∪ (4, ∞) (B) B – A = (-∞, -5) ∪ (-3, 0) ∪ (5, ∞) (C) A –…

  • FORMULA LIBERARY : LOGARITHM

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX LOGARITHM — JEE MATH APEX — JEE MATH APEX 1. Basic Definition & Fundamental Identity 📌 Definition of Logarithm • If ax = N, then x = loga N  (where a > 0, a ≠ 1, N > 0) • Fundamental identity: aloga N = N…

  • IAT 2017

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    Mathematics Questions JEE MATH APEX The number of solutions of the equation in the interval is (A) 0 (B) 2 (C) 1 (D) 3 Click to View Answer Correct Answer: [ ] JEE MATH APEX For , the number of onto functions from the set to the set is (A) (B) (C) (D) Click to…

  • IAT 2018

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    Mathematics Questions JEE MATH APEX Let be a given complex number with modulus . Then the set is a (A) Straight line. (B) Hyperbola. (C) Circle. (D) Parabola. Click to View Answer Correct Answer: [ ] JEE MATH APEX Let be functions from to , with and invertible. Which of the following is NOT always…

  • IAT 2019

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    Mathematics Questions JEE MATH APEX Let be the roots of the equation , for . Then, the sum equals to (A) . (B) . (C) . (D) . Click to View Answer Correct Answer: [ ] JEE MATH APEX How many solutions does the equation have in the interval ? (A) 4 (B) 0 (C)…

  • IAT 2020

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    Mathematics Questions JEE MATH APEX If is the set of all points satisfying the equation , then which of the following statements is correct? (A) contains all points of a parabola. (B) contains all points of a circle. (C) contains all points of a hyperbola. (D) contains all points of a straight line. Click to…

  • IAT 2021

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    Mathematics Questions JEE MATH APEX What is the maximum value of , when ? (A) 2 (B) 1 (C) (D) Click to View Answer Correct Answer: [ ] JEE MATH APEX Out of a pack of ten cards numbered 1 to 10, a boy draws a card at random and keeps it back. Then a…

  • IAT 2022

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    Mathematics Questions JEE MATH APEX A randomly chosen card from a deck of 52 cards is given to be a black card (i.e., Spade or Club). What is the probability that it is either a face card (i.e., King, Queen or Jack) or a Spade? (A) 8/13 (B) 9/13 (C) 19/26 (D) 7/13 Click to…