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Day 284: JEE Mains Maths

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

  1. Question 1

    Complex Numbers. Asked once: 30 Jan 2023 (same type asked 3 times) See all 3 of this type

    81
    Let z=1+iz = 1 + i and z1=1+iz‾z‾(1−z)+1zz_{1}=\frac{1 + i\overline{z}}{\overline{z}(1 - z) +\frac{1}{z}}. Then 12πarg(z1)\frac{12}{\pi}arg\left( z_{1} \right) is equal to

  2. Question 2

    Probability. Asked once: 27 Jul 2022 (same type asked 3 times) See all 3 of this type

    74
    Let SS be the sample space of all five- digit numbers. If pp is the probability that a randomly selected number from SS, is a multiple of 7 but not divisible by 5, then 9p9p is equal to

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  3. Question 3

    Sequences and Series. Asked once: 2021 Paper 16 (same type asked 3 times) See all 3 of this type

    53
    If log⁡32,log⁡3(2x−5),log⁡3(2x−72)\log_{3}2,\log_{3}\left( 2^{x}- 5 \right),\log_{3}\left( 2^{x}-\frac{7}{2} \right) are in an arithmetic progression then the value of xx is equal to

  4. Question 4

    Conic Sections. Asked once: 2021 Paper 7 (same type asked 3 times) See all 3 of this type

    74
    The line 2x−y+1=02x-y+ 1 = 0 is a tangent to the circle at the point (2,5)(2,5) and the centre of the circle lies on x−2y=4x- 2y= 4. Then, the radius of the circle is:

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  5. Question 5

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

    74
    Let f:[0,∞)→[0,3]f:[0,\infty)\rightarrow[0,3] be a function defined by f(x)={max⁡{sin⁡t:0≤t≤x},0≤x≤π2+cos⁡x,x>πf(x)=\begin{cases} \max\{\sin t : 0\leq t\leq x\}, & 0\leq x\leq\pi \\ 2+\cos x, & x>\pi \end{cases} Then which of the following is true?

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