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Day 141: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked 2 times: 11 May 2023 S2*, 15 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    116
    Contrapositive of the statement 'If two numbers are equal, then their squares are equal' is

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  2. Question 2

    Trigonometric Functions. Asked 2 times: 9 May 2023 S2, 15 May 2023 S1 See all 2 times it was asked

    131
    The number of integral values of kk for which the equation 7cos⁡x+5sin⁡x=2k+17\cos x+5\sin x=2k+1 has a solution, is

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  3. Question 3

    Applications of Derivative. Asked 2 times: May 2022 S1, 11 May 2023 S2 See all 2 times it was asked

    135
    If the normal to the curve y=f(x)y=f(x) at the point (3,4)(3,4) makes an angle of 3π4\frac{3\pi}{4} with the positive X-axis, then the value of f′(3)f'(3) is

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  4. Question 4

    Applications of Derivative. Asked 2 times: 3 May 2023 S2*, 11 May 2023 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    117
    The curve y=ax3+bx2+cx+5y=ax^3+bx^2+cx+5 touches the x-axis at (−2,0)(-2,0) and cuts the y-axis at a point Q where its gradient is 3, then values of a,b,ca,b,c respectively, are

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  5. Question 5

    Differentiation. Asked 2 times: 2 May 2023 S2, 11 May 2023 S2 See all 2 times it was asked

    114
    If f(x)=log⁡x2(log⁡x)f(x) = \log_{x^2}(\log x), then at x=ex=e, f′(x)f'(x) has the value

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