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Day 98: JEE Mains Maths

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

  1. Question 1

    Straight Lines. This type asked 2 times: 12 Apr 2023, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 2 of this type

    60
    If a straight line drawn through the point of intersection of the lines 4x+3y−1=04x+ 3y- 1 = 0 and 3x+4y−1=03x+ 4y- 1 = 0, meet the co-ordinate axes at the points P and Q , then the locus of the mid point of PQ is:

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  2. Question 2

    Permutations and Combinations. This type asked 2 times: 28 Jan 2026 S2, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 2 of this type

    57
    A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th 10^{\text{th~}} floor. The number of ways, in which any 4 persons exit at a floor and the remaining 5 persons exit at a different floor, if the lift does not stop at the first and the second floors, is equal to :

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  3. Question 3

    Complex Numbers. This type asked 2 times: 2021 Paper 1, 6 Apr 2026 S1. This one: 6 Apr 2026 S1 See all 2 of this type

    54
    Let the set of all values of k∈Rk \in R such that the equation z(z‾+2+i)+k(2+3i)=0,z∈Cz(\overline{z}+ 2 + i) + k(2 + 3i) = 0,z \in C, has at least one solution, be the interval [α,β]\lbrack\alpha,\beta\rbrack. Then 9(α+β)9(\alpha+\beta) is equal to:

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  4. Question 4

    Inverse Trigonometric Functions. This type asked 2 times: 2021 Paper 26, 6 Apr 2026 S1. This one: 6 Apr 2026 S1 See all 2 of this type

    63
    Let 0<α<1,β=13α0 <\alpha< 1,\beta=\frac{1}{3\alpha} and tan⁡−1(1−α)+tan⁡−1(1−β)=π4\tan^{- 1}(1 -\alpha) +\tan^{- 1}(1 -\beta) =\frac{\pi}{4}. Then 6(α+β)6(\alpha+\beta) is equal to:

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  5. Question 5

    Probability. This type asked 2 times: 7 Apr 2025, 6 Apr 2026 S1. This one: 6 Apr 2026 S1 See all 2 of this type

    60
    A bag contains (N+1)(N + 1) coins -N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is 916\frac{9}{16}, then N is equal to:

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