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Day 222: JEE Mains Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2021 Paper 23 (same type asked 2 times) See all 2 of this type

    82
    Suppose the line x−2α=y−2−5=z+22\frac{x- 2}{\alpha}=\frac{y- 2}{- 5}=\frac{z+ 2}{2} lies on the plane x+3y−2z+β=0x+ 3y- 2z+\beta= 0. Then (α+β)(\alpha+\beta) is equal to

  2. Question 2

    Application of Derivatives. Asked once: 14 Jun 2022 (same type asked 2 times) See all 2 of this type

    71
    If the tangent at the point (x1,y1)\left( x_{1},y_{1} \right) on the curve y=x3+3x2+5y =x^{3}+ 3x^{2}+ 5 passes through the origin, then (x1,y1)\left( x_{1},y_{1} \right) does NOT lie on the curve:

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  3. Question 3

    Probability. Asked once: 2021 Paper 23 (same type asked 2 times) See all 2 of this type

    64
    Let S={1,2,3,4,5,6}S = \{1,2,3,4,5,6\}. Then the probability that a randomly chosen onto function gg from SS to SS satisfies g(3)=2g(1)g(3) = 2g(1) is:

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  4. Question 4

    Binomial Theorem. Asked once: 25 Jun 2022 (same type asked 2 times) See all 2 of this type

    174
    If the sum of the coefficients of all the positive even powers of xx in the binomial expansion of (2x3+3x)10\left( 2x^{3}+\frac{3}{x} \right)^{10} is 510−β⋅395^{10}-\beta\cdot3^{9}, then β\beta is equal to

  5. Question 5

    Conic Sections. Asked once: 2021 Paper 13 (same type asked 2 times) See all 2 of this type

    52
    If 36x2+36y2−108x+120y+C=036x^{2}+ 36y^{2}- 108x+ 120y+C= 0, the circle does not cut/touch coordinate axis. Find the range of CC.

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