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Day 329: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 9 May 2024 S2 (same type asked 9 times) See all 9 of this type

    147
    The equation of a plane, containing the line of intersection of the planes 2x−y−4=02x-y-4=0 and y+2z−4=0y+2z-4=0 and passing through the point (2,1,0)(2,1,0), is

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  2. Question 2

    Mathematical Logic. Asked once: 12 May 2024 S1 (same type asked 9 times) See all 9 of this type

    142
    The contrapositive of "If xx and yy are integers such that xyxy is odd, then both xx and yy are odd" is

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  3. Question 3

    Probability Distribution. Asked once: 9 May 2023 S1 (same type asked 9 times) See all 9 of this type

    104
    If X is a random variable with distribution given below: X=xi: 0, 1, 2, 3; P(X=xi): k, 3k, 3k, k Then the value of k and its variance are respectively given by

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  4. Question 4

    Limits. Asked once: 19 Apr 2025 S1 (same type asked 9 times) See all 9 of this type

    146
    If f(x)f(x) is continuous at point x=0x= 0 where f(x)={3sin⁡x+5tan⁡xax−1,x<02log⁡2,x=08x+2xcosx bx−1,x>0f(x) =\left\{ \begin{matrix} \frac{3\sin x+ 5\tan x}{a^{x}- 1} & ,x< 0 \\ \frac{2}{\log2} & ,x= 0 \\ \frac{8x+ 2xcosx}{{\text{ }b}^{x}- 1} & ,x> 0 \end{matrix} \right. then the values of aa and bb, respectively, are .

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  5. Question 5

    Linear Programming. Asked once: 17 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    97
    For the linear programming problem, x+2y≤10, 3x+y≤12, x,y≥0x + 2y \le 10,\ 3x + y \le 12,\ x, y \ge 0, the maximum value of z=5x+10yz = 5x + 10y occurs at every point on the line segment joining the points..

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