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Day 202: MHT-CET Maths

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

  1. Question 1

    Pair of Straight Lines. Asked once: 18 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    55
    The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by x2−6xy+5y2+10x−14y+9=0x^2 - 6xy + 5y^2 + 10x - 14y + 9 = 0 is …\ldots

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  2. Question 2

    Definite Integration. Asked once: 17 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    83
    The value of ∫0π11+2cos⁡x dx\int_0^\pi\dfrac{1}{1 + 2^{\cos x}}\,dx is ____

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  3. Question 3

    Differential Equations. Asked once: 10 May 2024 S1 (same type asked 5 times) See all 5 of this type

    121
    dPdt=0.5P−450\frac{dP}{dt}=0.5P-450, P(0)=850. Time when P=0 is

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  4. Question 4

    Line and Plane. Asked once: 18 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    96
    If the plane 2x+3y+z=62x + 3y + z = 6 cuts coordinate axes at A, B and C, then the volume of tetrahedron OABC (where O is the origin) is ......cubic units.

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  5. Question 5

    Linear Programming. Asked once: 20 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    97
    The difference between the maximum value and the minimum value of the objective function z=3x+yz = 3x + y subject to the constraints 2x+3y≤6,x+y≥1,x≥0,y≥02x + 3y \le 6, x + y \ge 1, x \ge 0, y \ge 0 is....

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