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Day 271: JEE Mains Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 30 Jan 2024 (same type asked 3 times) See all 3 of this type

    155
    Let f(x)=(x+3)2(x−2)3,x∈[−4,4]f(x) = (x+ 3)^{2}(x- 2)^{3},x\in \lbrack - 4,4\rbrack. If MM and mm are the maximum and minimum values of ff, respectively in [−4,4]\lbrack - 4,4\rbrack, then the value of M−mM-m is:

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  2. Question 2

    Conic Sections. Asked once: 2021 Paper 17 (same type asked 3 times) See all 3 of this type

    77
    Consider a circle CC which touches the yy-axis at (0,6)(0,6) and cuts off an intercept 656\sqrt{5} on the x-axis. Then the radius of the circle CC is equal to:

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  3. Question 3

    Quadratic Equations. Asked once: 1 Feb 2023 (same type asked 3 times) See all 3 of this type

    162
    The number of integral values of kk, for which one root of the equation 2x2−8x+k=02x^{2}- 8x + k = 0 lies in the interval (1,2)(1,2) and its other root lies in the interval (2,3)(2,3), is :

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  4. Question 4

    Trigonometric Equations. Asked once: 29 Jan 2024 (same type asked 3 times) See all 3 of this type

    71
    If α,−π2<α<π2\alpha, -\frac{\pi}{2}< \alpha <\frac{\pi}{2} is the solution of 4cos⁡θ+5sin⁡θ=14\cos\theta + 5\sin\theta = 1, then the value of tan⁡α\tan\alpha is

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  5. Question 5

    Complex Numbers. Asked once: 28 Jan 2025 (same type asked 3 times) See all 3 of this type

    129
    If α+iβ\alpha+i\beta and γ+iδ\gamma+i\delta are the roots of x2−(3−2i)x−(2i−2)=0,i=−1x^{2}- (3 - 2i)x- (2i- 2) = 0,i=\sqrt{- 1}, then αγ+βδ\alpha\gamma+\beta\delta is equal to :

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