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Day 295: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 11 May 2023 S1 (same type asked 5 times) See all 5 of this type

    140
    With usual notations, if the lengths of the sides of a triangle are 7 cm, 434\sqrt{3} cm and 13\sqrt{13} cm, then the measures of the smallest angle is

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  2. Question 2

    Limits. Asked once: 26 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    102
    Let f(x)={x4−5x2+4∣(x−1)(x−2)∣,x≠1,26,x=112,x=2f(x) =\left\{ \begin{matrix} \frac{x^{4}- 5x^{2}+ 4}{|(x- 1)(x- 2)|} & ,x\neq 1,2 \\ 6 & ,x= 1 \\ 12 & ,x= 2 \end{matrix} \right..Then f(x)f(x) is continuous on the set

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  3. Question 3

    Differentiation. Asked once: 9 May 2023 S1 (same type asked 5 times) See all 5 of this type

    147
    If f(x)=x2−xx2+2xf(x)=\frac{x^2-x}{x^2+2x} then ddxf−1(x)\frac{d}{dx}f^{-1}(x) at x=2x=2 is

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  4. Question 4

    Trigonometric Functions. Asked once: 13 May 2024 S2 (same type asked 5 times) See all 5 of this type

    150
    The principal value of sin⁡−1 ⁣(sin⁡3π4)\sin^{-1}\!\left(\sin\frac{3\pi}{4}\right) is:

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  5. Question 5

    Trigonometric Functions. Asked once: 2 May 2023 S1 (same type asked 5 times) See all 5 of this type

    117
    In △ABC\triangle ABC, with usual notations, if 1b+c+1c+a=3a+b+c\dfrac{1}{b+c} + \dfrac{1}{c+a} = \dfrac{3}{a+b+c}, then m∠Cm\angle C is equal to

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