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Day 433: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 17 Apr 2026 S2

    68
    If the function f(x)=42(sin⁡3x+sin⁡x)2sin⁡2xsin⁡3x2+cos⁡5x2−cos⁡3x2f(x) = \dfrac{4\sqrt{2}(\sin 3x + \sin x)}{2\sin 2x\sin\dfrac{3x}{2} + \cos\dfrac{5x}{2} - \cos\dfrac{3x}{2}} for x≠π2x \neq \dfrac{\pi}{2} is continuous at x=π2x = \dfrac{\pi}{2}, then the value of f(π2)f\left(\dfrac{\pi}{2}\right) is equal to

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  2. Question 2

    Line and Plane. Asked once: 14 May 2026 S2

    94
    The Cartesian equation of the line passing through A(3,2,1)A(3, 2, 1) and B(1,3,1)B(1, 3, 1) is:

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  3. Question 3

    Mathematical Logic. Asked once: 11 Apr 2026 S2

    63
    Consider the following statements rr: If p→qp \to q is false then p∨qp \vee q is false. ss: If p↔qp \leftrightarrow q is false then p∨qp \vee q is false. The truth values of r→sr \to s and s→rs \to r are respectively ____

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  4. Question 4

    Measures of Dispersion. Asked once: 11 May 2023 S2

    149
    If for some x∈R+∪{0}x\in\mathbb{R}^+\cup\{0\}, the frequency distribution of the marks obtained by 20 students in a test is: Marks: 2,3,5,7; Frequency: (x+1)2, 2x−5, x2−3x, x(x+1)^2,\ 2x-5,\ x^2-3x,\ x. Then the mean of the marks is

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  5. Question 5

    Pair of Straight Lines. Asked once: 15 Apr 2026 S1

    58
    The triangle formed by the lines 2x2−3xy−2y2=02x^2 - 3xy - 2y^2 = 0 and 3x−y=73x - y = 7 is...

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