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Day 277: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 30 Jan 2024 (same type asked 3 times) See all 3 of this type

    177
    The number of symmetric relations defined on the set {1,2,3,4}\mathbf{\{ 1,2,3,4\}} which are not reflexive is

  2. Question 2

    Three Dimensional Geometry. Asked once: 30 Jan 2024 (same type asked 3 times) See all 3 of this type

    172
    Let a line passing through the point (−1,2,3)( - 1,2,3) intersect the lines L1:x−13=y−22=z+1−2L_{1}:\frac{x - 1}{3}=\frac{y - 2}{2}=\frac{z + 1}{- 2} at M(α,β,γ)M(\alpha,\beta,\gamma) and L2:x+2−3=y−2−2=z−14L_{2}:\frac{x + 2}{- 3}=\frac{y - 2}{- 2}=\frac{z - 1}{4} at N(a,bN(a,b,c). Then the value of (α+β+γ)2(a+b+c)2\frac{(\alpha + \beta + \gamma)^{2}}{(a + b + c)^{2}} equals

  3. Question 3

    Application of Integrals. Asked once: 24 Jan 2025 (same type asked 3 times) See all 3 of this type

    63
    The area of the region {(x,y):x2+4x+2≤y≤∣x+2∣}\left\{ (x,y):x^{2}+ 4x + 2 \leq y \leq |x + 2| \right\} is equal to

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  4. Question 4

    Binomial Theorem. Asked once: 2021 Paper 24 (same type asked 3 times) See all 3 of this type

    87
    If the sum of the coefficients in the expansion of (x+y)n(x+y)^{n} is 4096, then the greatest coefficient in the expansion is

  5. Question 5

    Straight Lines. Asked once: 8 Apr 2023 (same type asked 3 times) See all 3 of this type

    64
    Let C(α,β)C(\alpha,\beta) be the circumcenter of the triangle formed by the lines
    4x+3y=694x + 3y = 69
    4y−3x=174y - 3x = 17 and
    x+7y=61x + 7y = 61
    Then (α−β)2+α+β(\alpha - \beta)^{2}+ \alpha + \beta is equal to

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