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Day 236: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 1 Feb 2024 (same type asked 7 times) See all 7 of this type

    84
    Let 3,7,11,15,….,4033,7,11,15,\ldots.,403 and 2,5,8,11,…,4042,5,8,11,\ldots,404 be two arithmetic progressions. Then the sum, of the common terms in them, is equal to

  2. Question 2

    Trigonometric Identities. Asked once: 10 Apr 2023 (same type asked 7 times) See all 7 of this type

    68
     96cos⁡π33cos⁡2π33cos⁡4π33cos⁡8π33cos⁡16π33\ 96\cos\frac{\pi}{33}\cos\frac{2\pi}{33}\cos\frac{4\pi}{33}\cos\frac{8\pi}{33}\cos\frac{16\pi}{33} equal to

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  3. Question 3

    Differential Equations. Asked once: 8 Apr 2024 (same type asked 7 times) See all 7 of this type

    160
    Let y=y(x)y = y(x) be the solution curve of the differential equation secy dydx+2xsiny=x3cos⁡y\frac{dy}{dx}+ 2xsiny =x^{3}\cos y y(1)=0y(1) = 0. Then y(3)y(\sqrt{3}) is equal to:

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  4. Question 4

    Trigonometric Equations. Asked once: 2 Apr 2025 (same type asked 7 times) See all 7 of this type

    134
    If θ∈[−7π6,4π3]\theta\in\left\lbrack -\frac{7\pi}{6},\frac{4\pi}{3} \right\rbrack, then the number of solutions of 3csc⁡2θ−2(3−1)csc⁡θ−4=0\sqrt{3}\csc^{2}\theta- 2(\sqrt{3}- 1)\csc\theta- 4 = 0, is equal to.

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  5. Question 5

    Complex Numbers. Asked once: 30 Jan 2024 (same type asked 7 times) See all 7 of this type

    63
    If z=x+z = x + iy, xy≠0xy \neq 0, satisfies the equation z2+izˉ=0z^{2}+ i\bar{z}= 0, then ∣z2∣\left| z^{2} \right| is equal to:

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