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Day 367: JEE Mains Maths

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

  1. Question 1

    Binomial Theorem. Asked once: 31 Jan 2023 (same type asked 7 times) See all 7 of this type

    176
    The coefficient of x−6x^{- 6}, in the expansion of (4x5+52x2)9\left( \frac{4x}{5}+\frac{5}{2x^{2}} \right)^{9}, is

  2. Question 2

    Permutations and Combinations. Asked once: 2021 Paper 1 (same type asked 7 times) See all 7 of this type

    62
    A scientific committee is to formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is:

    Tap an option to check your answer.

  3. Question 3

    Three Dimensional Geometry. Asked once: 25 Jan 2023 (same type asked 7 times) See all 7 of this type

    70
    Consider the lines L1L_{1} and L2L_{2} given by
    L1:x−12=y−31=z−22L_{1}:\frac{x - 1}{2}=\frac{y - 3}{1}=\frac{z - 2}{2}
    L2:x−21=y−22=z−33L_{2}:\frac{x - 2}{1}=\frac{y - 2}{2}=\frac{z - 3}{3}. A line L3L_{3} having direction ratios 1,−1,−21, - 1, - 2, intersects L1L_{1} and L2L_{2} at the points PP and QQ respectively. Then the length of line segment PQPQ is

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  4. Question 4

    Limits and Continuity. Asked once: 12 Apr 2023 (same type asked 7 times) See all 7 of this type

    83
    Let [x]\lbrack x\rbrack be the greatest integer ≤x\leq x. Then the number of points in the interval (−2,1)( - 2,1), where the function f(x)=∣[x]∣+x−[x]f(x) = |\lbrack x\rbrack| +\sqrt{x - \lbrack x\rbrack} is discontinuous is

  5. Question 5

    Sequences and Series. Asked once: 30 Jan 2023 (same type asked 7 times) See all 7 of this type

    175
    The 8th 8^{\text{th~}} common term of the series
    S1=3+7+11+15+19+⋯ .S2=1+6+11+16+21+⋯ .\begin{matrix} & S_{1}= 3 + 7 + 11 + 15 + 19 + \cdots. \\ & S_{2}= 1 + 6 + 11 + 16 + 21 + \cdots. \end{matrix}
    Is