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Day 382: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 31 Jan 2023 (same type asked 8 times) See all 8 of this type

    84
    If the variance of the frequency distribution
    xix_{i}2345678
    Frequency fif_{i}3616α\alpha956
    is 3, then α\alpha is equal to

  2. Question 2

    Three Dimensional Geometry. Asked once: 2021 Paper 17 (same type asked 8 times) See all 8 of this type

    63
    For real numbers α\alpha and β\beta, if the straight lines x−α1=y−12=z−13\frac{x-\alpha}{1}=\frac{y-1}{2}=\frac{z-1}{3} and x−4β=y−63=z−73\frac{x-4}{\beta}=\frac{y-6}{3}=\frac{z-7}{3} intersect at a point which lies on the plane x+2y−z=8x+2y-z=8, then α−β\alpha-\beta is equal to:

    Tap an option to check your answer.

  3. Question 3

    Permutations and Combinations. Asked once: 25 Jul 2022 (same type asked 8 times) See all 8 of this type

    82
    The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is

  4. Question 4

    Statistics. Asked once: 25 Jun 2022 (same type asked 8 times) See all 8 of this type

    175
    If the mean deviation about the mean of the numbers 1,2,3,…..,n1,2,3,\ldots..,n, where nn is odd, is 5(n+1)n\frac{5(n + 1)}{n}, then nn is equal to

  5. Question 5

    Conic Sections. Asked once: 29 Jan 2024 (same type asked 8 times) See all 8 of this type

    173
    Let P(α,β)P(\alpha,\beta) be a point on the parabola y2=4xy^{2}= 4x. If PP also lies on the chord of the parabola x2=8yx^{2}= 8y whose mid point is (1,54)\left( 1,\frac{5}{4} \right). Then (α−28)(β−8)(\alpha- 28)(\beta- 8) is equal to