Tag: mathematics

  • IAT 2019

    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

    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

    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

    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…

  • IAT 2023

    Mathematics Questions JEE MATH APEX Let be a continuous decreasing function. Suppose are in a geometric progression with common ratio . In which of the following intervals does the value of lie? (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] JEE MATH APEX Let be a matrix with real entries such…

  • IAT 2024

    Mathematics Questions JEE MATH APEX Consider the following lines in the XY-plane: the line passing through and the line passing through and parallel to the vector Let . What is the total number of elements of ? (A) 3 (B) 0 (C) 1 (D) 2 Click to View Answer Correct Answer: [ ] JEE MATH…

  • IAT 2025

    Mathematics Questions JEE MATH APEX How many three digit numbers divisible by 5 are there in which no digits are repeated? (A) 136 (B) 128 (C) 144 (D) 162 Click to View Answer Correct Answer: [ ] JEE MATH APEX Let be a matrix with real entries such that For how many values of ,…

  • IAT 2026

    Mathematics Questions JEE MATH APEX Let be a quadratic polynomial such that . What is the coefficient of in ? (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] JEE MATH APEX Consider the following sets of points in the complex plane and . Which of the following statements is TRUE? (A)…