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Day 76: JEE Mains Maths

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

  1. Question 1

    Three Dimensional Geometry. This type asked 3 times: 2021 Paper 4, 2021 Paper 5, 29 Jun 2022. This one: 29 Jun 2022 See all 3 of this type

    83
    Let dd be the distance between the foot of perpendiculars of the points P(1,2,−1)P(1,2,-1) and Q(2,−Q(2, - 1,3) on the plane −x+y+z=1-x+y+z= 1. Then d2d^{2} is equal to

  2. Question 2

    Differential Equations. This type asked 3 times: 2021 Paper 22, 2021 Paper 23, 27 Jun 2022. This one: 27 Jun 2022 See all 3 of this type

    71
    If dydx+2x−y(2y−1)2x−1=0,x,y>0,y(1)=1\frac{dy}{dx}+\frac{2^{x - y}\left( 2^{y}- 1 \right)}{2^{x}- 1}= 0,x,y > 0,y(1) = 1, then y(2)y(2) is equal to :

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  3. Question 3

    Limits and Continuity. This type asked 3 times: 2021 Paper 16, 2021 Paper 24, 2021 Paper 26. This one: 2021 Paper 26 See all 3 of this type

    63
    Let f(x)f(x) be a differentiable function at x=ax = a with f′(a)=2f^{'}(a) = 2 and f(a)=4f(a) = 4. Then lim⁡x→axf(a)−af(x)x−a\lim_{x \rightarrow a} \frac{xf(a) - af(x)}{x - a} equals:

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  4. Question 4

    Complex Numbers. Asked 2 times: 27 Jun 2022*, 8 Apr 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    52
    The number of values of z∈Cz\in\mathbb{C}, satisfying the equations ∣z−(4+8i)∣=10|z- (4 + 8i)| =\sqrt{10} and ∣z−(3+5i)∣+∣z−(5+11i)∣=45|z- (3 + 5i)| + |z- (5 + 11i)| = 4\sqrt{5}, is :

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  5. Question 5

    Permutations and Combinations. Asked 2 times: 6 Apr 2023*, 6 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    57
    The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any letter, is:

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