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Day 148: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 28 Jan 2026 S2 (same type asked 5 times) See all 5 of this type

    58
    Given below are two statements : Statement I : The function f:R→Rf:R \rightarrow R defined by f(x)=x1+∣x∣f(x) = \frac{x}{1 + |x|} is one-one. Statement II : The function f:R→Rf:R \rightarrow R defined by f(x)=x2+4x−30x2−8x+18f(x) = \frac{x^{2} + 4x - 30}{x^{2} - 8x + 18} is many-one. In the light of the above statements, choose the correct answer from the options given below:

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  2. Question 2

    Three Dimensional Geometry. Asked once: 24 Jan 2025 (same type asked 5 times) See all 5 of this type

    147
    Let PP be the image of the point Q(7,−2,5)Q(7,-2,5) in the line L:x−12=y+13=z4L:\frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4} and R(5,p,q)R(5,p,q) be a point on LL. Then the square of the area of △PQR\triangle PQR is

  3. Question 3

    Application of Integrals. Asked once: 4 Apr 2024 (same type asked 5 times) See all 5 of this type

    159
    The area (in sq. units) of the region described by {(x,y):y2≤2x\left\{ (x,y):y^{2}\leq 2x \right., and  y≥4x−1}\left. \ y \geq 4x - 1 \right\} is

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  4. Question 4

    Relations and Functions. Asked once: 4 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    51
    Let [ • ] denote the greatest integer function. If the domain of the function f(x)=cos⁡−1(4x+2[x]3)f(x) =\cos^{- 1}\left( \frac{4x+ 2\lbrack x\rbrack}{3} \right) is [α,β]\lbrack\alpha,\beta\rbrack, then 12(α+β)12(\alpha+\beta) is equal to :

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  5. Question 5

    Sequences and Series. Asked once: 4 Apr 2025 (same type asked 5 times) See all 5 of this type

    61
    1+3+52+7+92+…1 + 3 +5^{2}+ 7 +9^{2}+ \ldots upto 40 terms is equal to.

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