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Day 346: JEE Mains Maths

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

  1. Question 1

    Definite Integration. Asked once: 2021 Paper 7 (same type asked 6 times) See all 6 of this type

    78
    Which of the following statements is incorrect for the function g(α)g(\alpha) for α∈R\alpha\in R such that g(α)=∫π6π3sin⁡αxcos⁡αx+sin⁡αxdxg(\alpha) =\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin^{\alpha}x}{\cos^{\alpha}x+\sin^{\alpha}x}dx

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  2. Question 2

    Relations and Functions. Asked once: 30 Jan 2024 (same type asked 6 times) See all 6 of this type

    72
    If the domain of the function f(x)=cos⁡−1(2−∣x∣4)+(log⁡e(3−x))−1f(x)=\cos^{-1}\left(\frac{2-|x|}{4}\right)+\left(\log_{e}(3-x)\right)^{-1} is [−α,β)−{γ}[-\alpha,\beta)-\{\gamma\}, then α+β+γ\alpha+\beta+\gamma is equal to:

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  3. Question 3

    Straight Lines. Asked once: 8 Apr 2024 (same type asked 6 times) See all 6 of this type

    151
    If the image of the point (−4,5)( - 4,5) in the line x+2y=2x+ 2y= 2 lies on the circle (x+4)2+(y−3)2=r2(x+ 4)^{2}+ (y- 3)^{2}=r^{2}, then rr is equal to :

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  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2021 Paper 23 (same type asked 6 times) See all 6 of this type

    63
    The domain of the function f(x)=sin⁡−1(3x2+x−1(x−1)2)+cos⁡−1(x−1x+1)f(x) =\sin^{- 1}\left( \frac{3x^{2}+ x - 1}{(x - 1)^{2}} \right)+\cos^{- 1}\left( \frac{x - 1}{x + 1} \right) is:

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  5. Question 5

    Relations and Functions. Asked once: 29 Jan 2024 (same type asked 6 times) See all 6 of this type

    77
    Let RR be a relation on Z×ZZ \times Z defined by (a,b)R(c,d)(a,b)R(c,d) if and only if ad - bc is divisible by 5 . Then RR is

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