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Day 135: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 22 Jan 2026 S2 (same type asked 8 times) See all 8 of this type

    52
    If the mean deviation about the median of the numbers k,2k,3k,….,1000kk,2k,3k,\ldots.,1000k is 500 , then k2k^{2} is equal to :

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  2. Question 2

    Conic Sections. Asked once: 29 Jan 2025 (same type asked 8 times) See all 8 of this type

    134
    If αx+βy=109\alpha x + \beta y = 109 is the equation of the chord of the ellipse x29+y24=1\frac{x^{2}}{9}+\frac{y^{2}}{4}= 1, whose mid point is (52,12)\left( \frac{5}{2},\frac{1}{2} \right), then α+β\alpha + \beta is equal to

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  3. Question 3

    Limits and Continuity. Asked once: 4 Apr 2025 (same type asked 8 times) See all 8 of this type

    127
    Let ff be a differentiable function on RR such that f(2)=1f\left( 2 \right)= 1, f′(2)=4f^{'}\left( 2 \right)= 4. Let lim⁡x→0(f(2+x))3x=eα\lim_{x\rightarrow 0} (f(2 + x))^{\frac{3}{x}}=e^{\alpha}. Then the number of times the curve y=4x3−4x2−4(α−7)x−αy= 4x^{3}- 4x^{2}- 4(\alpha- 7)x-\alpha meets xx-axis is.

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  4. Question 4

    Binomial Theorem. Asked once: 3 Apr 2025 (same type asked 8 times) See all 8 of this type

    59
    If ∑r=19(r+32r)⋅ 9Cr=α(32)9−β, α,β∈N\sum_{r = 1}^{9} \left( \frac{r + 3}{2^{r}} \right)\cdot\ ^{9}C_{r}=\alpha\left( \frac{3}{2} \right)^{9}-\beta,\ \alpha,\beta\in N, then (α+β)2(\alpha+\beta)^{2} is equal to.

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  5. Question 5

    Quadratic Equations. Asked once: 2 Apr 2025 (same type asked 8 times) See all 8 of this type

    65
    Let Pn=αn+βn,n∈NP_{n}=\alpha^{n}+\beta^{n},n\in N. If P10=123,P9=76P_{10}= 123,P_{9}= 76, P8=47P_{8}= 47 and P1=1P_{1}= 1, then the quadratic equation having roots 1α\frac{1}{\alpha} and 1β\frac{1}{\beta} is:

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