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Day 233: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 9 Apr 2024 (same type asked 8 times) See all 8 of this type

    157
    If the variance of the frequency distribution
    xxcc2c2c3c3c4c4c5c5c6c6c
    ff211111
    is 160, then the value of c∈Nc \in N is

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  2. Question 2

    Three Dimensional Geometry. Asked once: 12 Apr 2023 (same type asked 8 times) See all 8 of this type

    64
    Let the lines l1:x+53=y+41=z−α−2l_{1}:\frac{x + 5}{3}=\frac{y + 4}{1}=\frac{z - \alpha}{- 2} and l2:3x+l_{2}:3x + 2y+z−2=0=x−3y+2z−132y + z - 2 = 0 = x - 3y + 2z - 13 be coplanar. If the point P(a,b,c)P(a,b,c) on l1l_{1} is nearest to the point Q(−Q( - 4,−3,2)4, - 3,2), then ∣a∣+∣b∣+∣c∣|a| + |b| + |c| is equal to

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  3. Question 3

    Permutations and Combinations. Asked once: 13 Apr 2023 (same type asked 8 times) See all 8 of this type

    161
    All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is

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  4. Question 4

    Statistics. Asked once: 23 Jan 2025 (same type asked 8 times) See all 8 of this type

    149
    The variance of the numbers 8,21,34,47,…,3208,21,34,47,\ldots,320, is ____\_\_\_\_

  5. Question 5

    Conic Sections. Asked once: 28 Jan 2025 (same type asked 8 times) See all 8 of this type

    130
    If the midpoint of a chord of the ellipse x29+y24=1\frac{x^{2}}{9}+\frac{y^{2}}{4}= 1 is (2,4/3)(\sqrt{2},4/3), and the length of the chord is 2α3\frac{2\sqrt{\alpha}}{3}, then α\alpha is :

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