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Day 360: JEE Mains Maths

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

  1. Question 1

    Vector Algebra. Asked once: 25 Jan 2023 (same type asked 13 times) See all 13 of this type

    159
    Let a→=−i^−j^+k^,a→⋅b→=1\overrightarrow{a}= -\widehat{i}-\widehat{j}+\widehat{k},\overrightarrow{a}\cdot\overrightarrow{b}= 1 and a→×b→=i^−j^\overrightarrow{a}\times\overrightarrow{b}=\widehat{i}-\widehat{j}. Then a→−6b→\overrightarrow{a}- 6\overrightarrow{b} is equal to

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  2. Question 2

    Differential Equations. Asked once: 6 Apr 2024 (same type asked 13 times) See all 13 of this type

    180
    If the solution y(x)y(x) of the given differential equation (ey+1)cos⁡xdx+eysin⁡xdy=0\left( e^{y}+ 1 \right)\cos xdx+e^{y}\sin xdy= 0 passes through the point (π2,0)\left( \frac{\pi}{2},0 \right), then the value of ey(π6)e^{y\left( \frac{\pi}{6} \right)} is equal to

  3. Question 3

    Statistics. Asked once: 15 Apr 2023 (same type asked 13 times) See all 13 of this type

    63
    The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40. Then the correct variance is:

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  4. Question 4

    Relations and Functions. Asked once: 31 Jan 2023 (same type asked 13 times) See all 13 of this type

    152
    Among the relations S={(a,b):a,b∈R−{0},2+ab>0}S =\left\{ \mathbf{(a,b):a,b \in R - \{ 0\},2 +}\frac{a}{b}> 0 \right\} and T={(a,b):a,b∈R,a2−b2∈Z}T =\left\{ (a,b):a,b \in R,a^{2}-b^{2}\in Z \right\},

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  5. Question 5

    Probability. Asked once: 6 Apr 2024 (same type asked 12 times) See all 12 of this type

    70
    A company has two plants AA and BB to manufacture motorcycles. 60%60\% motorcycles are manufactured at plant AA and the remaining are manufactured at plant B. 80%80\% of the motorcycles manufactured at plant A are rated of the standard quality, while 90%90\% of the motorcycles manufactured at plant B are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard quality. If pp is the probability that it was manufactured at plant BB, then 126 p is

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