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Day 131: JEE Mains Maths

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

  1. Question 1

    Quadratic Equations. Asked once: 22 Jan 2026 S1 (same type asked 10 times) See all 10 of this type

    58
    The number of distinct real solutions of the equation x∣x+4∣+3∣x+2∣+10=0x|x + 4| + 3|x + 2| + 10 = 0 is

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  2. Question 2

    Vector Algebra. Asked once: 30 Jan 2023 (same type asked 10 times) See all 10 of this type

    64
    If a→,b→,c→\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} are three non-zero vectors and n^\widehat{n} is a unit vector perpendicular to c→\overrightarrow{c} such that a→=αb→−n^,(α≠\overrightarrow{a}= \alpha\overrightarrow{b}-\widehat{n},(\alpha \neq 0)0) and b→⋅c→=12\overrightarrow{b}\cdot\overrightarrow{c}= 12, then ∣c→×(a→×b→)∣|\overrightarrow{c}\times (\overrightarrow{a}\times\overrightarrow{b})| is equal to :

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  3. Question 3

    Sequences and Series. Asked once: 7 Apr 2025 (same type asked 10 times) See all 10 of this type

    145
    If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309 , then the sum of its first nine terms is:

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  4. Question 4

    Matrices. Asked once: 28 Jan 2026 S2 (same type asked 9 times) See all 9 of this type

    75
    Let A=[3−41−1]A = \begin{bmatrix} 3 & - 4 \\ 1 & - 1 \end{bmatrix} and BB be two matrices such that A100=100B+IA^{100} = 100B + I. Then the sum of all the elements of B100B^{100} is ____\_\_\_\_ .

  5. Question 5

    Application of Integrals. Asked once: 22 Jan 2025 (same type asked 9 times) See all 9 of this type

    145
    The area of the region enclosed by the curves y=x2−4x+4y =x^{2}- 4x + 4 and y2=16−8xy^{2}= 16 - 8x is :

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