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Day 207: JEE Mains Maths

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

  1. Question 1

    Matrices. Asked once: 13 Apr 2023 (same type asked 2 times) See all 2 of this type

    71
    The number of symmetric matrices of order 3 , with all the entries from the set {0,1,2,3,4,5,6,7,8,9}\mathbf{\{ 0,1,2,3,4,5,6,7,8,9\}}, is :

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  2. Question 2

    Probability. Asked once: 2021 Paper 11 (same type asked 2 times) See all 2 of this type

    59
    Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter MM appears at the fourth position in any such word is:

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  3. Question 3

    Limits and Continuity. Asked once: 25 Jun 2022 (same type asked 2 times) See all 2 of this type

    155
     lim⁡x→π2(tan⁡2x((2sin⁡2x+3sin⁡x+4)12−(sin⁡2x+6sin⁡x+2)12))\ \lim_{x \rightarrow\frac{\pi}{2}} \left( \tan^{2}x\left( \left( 2\sin^{2}x + 3\sin x + 4 \right)^{\frac{1}{2}}-\left( \sin^{2}x + 6\sin x + 2 \right)^{\frac{1}{2}} \right) \right) is equal to

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  4. Question 4

    Straight Lines. Asked once: 27 Jan 2024 (same type asked 2 times) See all 2 of this type

    154
    Let RR be the interior region between the lines 3x−y+1=03x - y + 1 = 0 and x+2y−5=0x + 2y - 5 = 0 containing the origin. The set of all values of aa, for which the points (a2,a+1)\left( a^{2},a + 1 \right) lie in RR, is:

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  5. Question 5

    Vector Algebra. Asked once: 10 Apr 2023 (same type asked 2 times) See all 2 of this type

    163
    If the points PP and QQ are respectively the circumcentre and the orthocentre of a △ABC\bigtriangleup ABC, then PA→+PB→+PC→\overrightarrow{PA}+\overrightarrow{PB}+\overrightarrow{PC} is equal to

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