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Day 273: JEE Mains Maths

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

  1. Question 1

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

    157
    If x2−y2+2hxy+2gx+2fy+c=0x^{2}-y^{2}+ 2hxy + 2gx + 2fy + c = 0 is the locus of a point, which moves such that it is always equidistant from the lines x+2y+7=0x + 2y + 7 = 0 and 2x−y+8=02x - y + 8 = 0, then the value of g+c+h−fg + c + h - f equals

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  2. Question 2

    Permutations and Combinations. Asked once: 6 Apr 2024 (same type asked 3 times) See all 3 of this type

    76
    The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is

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  3. Question 3

    Probability. Asked once: 2021 Paper 11 (same type asked 3 times) See all 3 of this type

    60
    The probability of selecting integers a∈[−5,30]a \in \lbrack - 5,30\rbrack such that x2+2(a+4)x−5a+64>0x^{2}+ 2(a+ 4)x- 5a+ 64 > 0, for all x∈Rx \in R, is:

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  4. Question 4

    Probability. Asked once: 31 Jan 2023 (same type asked 3 times) See all 3 of this type

    67
    A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least 5 black balls is

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  5. Question 5

    Quadratic Equations. Asked once: 1 Feb 2024 (same type asked 3 times) See all 3 of this type

    152
    Let α\alpha and β\beta be the roots of the equation px2+qx−px^{2}+ qx - r=0r = 0, where p≠0p \neq 0. If p,qp,q and rr be the consecutive terms of a non-constant G.P and 1α+1β=34\frac{1}{\alpha}+\frac{1}{\beta}=\frac{3}{4}, then the value of (α−β)2(\alpha - \beta)^{2} is :

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