PYQ Vault

Day 208: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Application of Derivatives. Asked once: 14 Jun 2022 (same type asked 2 times) See all 2 of this type

    63
    The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is:

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  2. Question 2

    Probability. Asked once: 2021 Paper 24 (same type asked 2 times) See all 2 of this type

    66
    Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is:

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  3. Question 3

    Statistics. Asked once: 30 Jan 2024 (same type asked 2 times) See all 2 of this type

    76
    Let MM denote the median of the following frequency distribution.
    Class0-44-88-1212-1616-20
    Frequency391086
    Then 20M20M is equal to:

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  4. Question 4

    Straight Lines. Asked once: 8 Apr 2024 (same type asked 2 times) See all 2 of this type

    82
    If the ortho centre of the triangle formed by the lines 2x+3y−1=0,x+2y−1=02x+ 3y- 1 = 0,x+ 2y- 1 = 0 and ax+by−1=0ax + by - 1 = 0, is the centroid of another triangle, whose circumcentre and orthocentre respectively are (3,4)(3,4) and (−6,−8)( - 6, - 8), then the value of ∣a−b∣|a - b| is
  5. Question 5

    Complex Numbers. Asked once: 28 Jun 2022 (same type asked 2 times) See all 2 of this type

    89
    The number of elements in the set {z=a+ib∈C:a,b∈Z\{ z = a + ib \in \mathbb{C}:a,b \in \mathbb{Z} and 1<∣z−3+2i∣<4}1 < |z - 3 + 2i| < 4\} is