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Day 333: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 31 Jan 2024 (same type asked 13 times) See all 13 of this type

    162
    Let the mean and the variance of 6 observation a, b,68,44,48,60b,68,44,48,60 be 55 and 194, respectively if a>ba > b, then a+3ba + 3b is

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  2. Question 2

    Vector Algebra. Asked once: 31 Jan 2024 (same type asked 13 times) See all 13 of this type

    176
    Let a→=3i^+2j^+k^,b→=2i^−j^+3k^\overrightarrow{a}= 3\widehat{i}+ 2\widehat{j}+\widehat{k},\overrightarrow{b}= 2\widehat{i}-\widehat{j}+ 3\widehat{k} and c→\overrightarrow{c} be a vector such that (a→+b→)×c→=2(a→×b→)+24j^−6k^(\overrightarrow{a}+\overrightarrow{b}) \times\overrightarrow{c}= 2(\overrightarrow{a}\times\overrightarrow{b}) + 24\widehat{j}- 6\widehat{k} and (a→−b→+i^)⋅c→=−3(\overrightarrow{a}-\overrightarrow{b}+\widehat{i}) \cdot\overrightarrow{c}= - 3. Then ∣c→∣2|\overrightarrow{c}|^{2} is equal to

  3. Question 3

    Differential Equations. Asked once: 9 Apr 2024 (same type asked 13 times) See all 13 of this type

    63
    The solution curve, of the differential equation 2ydydx+3=5dydx2y\frac{dy}{dx}+ 3 = 5\frac{dy}{dx}, passing through the point (0,1)(0,1) is a conic, whose vertex lies on the line :

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  4. Question 4

    Statistics. Asked once: 27 Jan 2024 (same type asked 13 times) See all 13 of this type

    171
    The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation was read as 10 in place of 12 . If μ\mu and σ2\sigma^{2} denote the mean and variance of the correct observations respectively, then 15(μ+μ2+σ2)15\left( \mu +\mu^{2}+\sigma^{2} \right) is equal to .............

  5. Question 5

    Relations and Functions. Asked once: 1 Feb 2023 (same type asked 13 times) See all 13 of this type

    62
    Let RR be a relation on RR, given by
    R={(a,b):3a−3b+7 is an irrational number }\mathbf{R = \{(a,b):3a - 3b +}\sqrt{7}\text{~is an irrational number~}\}
    Then RR is

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