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Day 300: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 13 May 2024 S2 (same type asked 4 times) See all 4 of this type

    110
    In △ABC\triangle ABC, with notations, if b+c11=c+a12=a+b13\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}, then the value of cos⁡A+cos⁡B+cos⁡C\cos A+\cos B+\cos C is:

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  2. Question 2

    Differentiation. Asked once: 9 May 2023 S2 (same type asked 4 times) See all 4 of this type

    114
    If y=sin⁡−1(3x2−x32)y = \sin^{-1}\left(\frac{3x}{2} - \frac{x^3}{2}\right), then dydx\frac{dy}{dx} is equal to

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  3. Question 3

    Trigonometric Functions. Asked once: 25 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    107
    The common principal solution of the equations sin⁡θ=−12\sin\theta= -\frac{1}{2} and tan⁡θ=13\tan\theta=\frac{1}{\sqrt{3}} is

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  4. Question 4

    Mathematical Logic. Asked once: 25 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    121
    If p≡p\equiv The switch S1S_{1} is closed, q≡q\equiv The switch S2S_{2} is closed, r≡r \equiv switch S3S_{3} is closed, then symbolic form of following switching circuit is equivalent to

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  5. Question 5

    Pair of Straight Lines. Asked once: 10 May 2024 S1 (same type asked 4 times) See all 4 of this type

    122
    Number of integral values of p in [-5,5] such that 2x2+4xy−py2+4x+qy+1=02x^2+4xy-py^2+4x+qy+1=0 represents a pair of lines

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