PYQ Vault
EbooksTutor

Day 366: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 4 Apr 2024 (same type asked 8 times) See all 8 of this type

    166
    Let PQPQ be a chord of the parabola y2=12xy^{2}=12x and the midpoint of PQPQ be at (4,1)(4,1). Then which of the following points lies on the line passing through the points PP and QQ?

    Tap an option to check your answer.

  2. Question 2

    Limits and Continuity. Asked once: 22 Jan 2025 (same type asked 8 times) See all 8 of this type

    132
    If lim⁡x→∞((e1−e)(1e−x1+x))x=α\lim_{x \rightarrow \infty} \left( \left( \frac{e}{1 - e} \right)\left( \frac{1}{e}-\frac{x}{1 + x} \right) \right)^{x}= \alpha, then the value of log⁡eα1+log⁡eα\frac{\log_{e}\alpha}{1 +\log_{e}\alpha} equals :

    Tap an option to check your answer.

  3. Question 3

    Quadratic Equations. Asked once: 27 Jan 2024 (same type asked 8 times) See all 8 of this type

    160
    If α,β\alpha,\beta are the roots of the equation, x2−x−1=0x^{2}- x - 1 = 0 and Sn=2023αn+2024βnS_{n}= 2023\alpha^{n}+ 2024\beta^{n}, then

    Tap an option to check your answer.

  4. Question 4

    Sequences and Series. Asked once: 25 Jul 2022 (same type asked 8 times) See all 8 of this type

    155
    The sum ∑n=1213(4n−1)(4n+3)\sum_{n = 1}^{21} \frac{3}{(4n - 1)(4n + 3)} is equal to

    Tap an option to check your answer.

  5. Question 5

    Application of Integrals. Asked once: 29 Jan 2023 (same type asked 8 times) See all 8 of this type

    73
    Let Δ\Delta be the area of the region {(x,y)∈R2:x2+y2≤21,y2≤4x,x≥1}\left\{ (x,y) \in R^{2}:x^{2}+y^{2}\leq 21,y^{2}\leq 4x,x \geq 1 \right\}. Then 12(Δ−21sin⁡−127)\frac{1}{2}\left( \Delta - 21\sin^{- 1}\frac{2}{\sqrt{7}} \right) is equal to

    Tap an option to check your answer.