PYQ Vault
EbooksTutor

Day 370: JEE Mains Maths

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

  1. Question 1

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

    77
    An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is :

    Tap an option to check your answer.

  2. Question 2

    Binomial Theorem. Asked once: 12 Apr 2023 (same type asked 6 times) See all 6 of this type

    76
    If 1n+1 nCn+1n nCn−1\frac{1}{n + 1}\ ^{n}C_{n}+\frac{1}{n}\ ^{n}C_{n - 1} +…+12 nC1+ nC0=102310+ \ldots +\frac{1}{2}\ ^{n}C_{1}+\ ^{n}C_{0}=\frac{1023}{10} then nn is equal to

    Tap an option to check your answer.

  3. Question 3

    Binomial Theorem. Asked once: 2021 Paper 22 (same type asked 6 times) See all 6 of this type

    89
    If (3644)k\left( \frac{3^{6}}{4^{4}} \right)k is the term, independent of xx, in the binomial expansion of (x4−12x2)12\left( \frac{x}{4}-\frac{12}{x^{2}} \right)^{12}, then kk is equal to

  4. Question 4

    Differentiation. Asked once: 2021 Paper 3 (same type asked 6 times) See all 6 of this type

    86
    The number of points, at which the function f(x)=∣2x+1∣−3∣x+2∣+∣x2+x−2∣,x∈Rf(x) = |2x + 1| - 3|x + 2| +\left| x^{2}+ x - 2 \right|,x \in R is not differentiable, is

  5. Question 5

    Differentiation. Asked once: 2021 Paper 4 (same type asked 6 times) See all 6 of this type

    86
    A function ff is defined on [−3,3]\lbrack - 3,3\rbrack as
    f(x)={min⁡{∣x∣,2−x2},−2≤x≤2[∣x∣],2<∣x∣≤3f(x) =\left\{ \begin{matrix} \min\left\{ |x|,2 -x^{2} \right\}, & - 2 \leq x\leq 2 \\ \lbrack|x|\rbrack & ,2 < |x| \leq 3 \end{matrix} \right.
    where [x]\lbrack x\rbrack denotes the greatest integer ≤x\leq x. The number of points, where ff is not differentiable in (−3,3)( - 3,3) is