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Day 330: JEE Mains Maths

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

  1. Question 1

    Complex Numbers. Asked once: 2021 Paper 18 (same type asked 4 times) See all 4 of this type

    71
    The equation arg(z−1z+1)=π4arg\left( \frac{z - 1}{z + 1} \right)=\frac{\pi}{4} represents a circle with:

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  2. Question 2

    Conic Sections. Asked once: 2021 Paper 10 (same type asked 4 times) See all 4 of this type

    66
    Consider a hyperbola H:x2−2y2=4H:x^{2}- 2y^{2}= 4. Let the tangent at a point P(4,6)P(4,\sqrt{6}) meet the xx-axis at QQ and latus rectum at R(x1,y1),x1>0R\left( x_{1},y_{1} \right),x_{1}> 0. If FF is a focus of HH which is nearer to the point PP, then the area of △QFR\bigtriangleup QFR is equal to

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  3. Question 3

    Probability. Asked once: 2021 Paper 4 (same type asked 4 times) See all 4 of this type

    78
    Let AA be a set of all 4-digit natural numbers whose exactly one digit is 7 . Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is:

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  4. Question 4

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

    61
    The coefficients a,ba,b and cc of the quadratic equation, ax2+bx+c=0ax^{2}+bx+c= 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is:

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  5. Question 5

    Application of Derivatives. Asked once: 2021 Paper 19 (same type asked 3 times) See all 3 of this type

    63
    The local maximum value of the function f(x)=(2x)x2,x>0f(x) =\left( \frac{2}{x} \right)^{x^{2}},x> 0, is

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