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Day 227: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 11 May 2023 S1 (same type asked 3 times) See all 3 of this type

    101
    ∫x dx(x−1)2(x+2)=\int \frac{x\,dx}{(x-1)^2(x+2)} =

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  2. Question 2

    Straight Line. Asked once: 13 May 2026 S2 (same type asked 3 times) See all 3 of this type

    60
    The polar coordinates of point PP are (2,π4)\left(\sqrt{2}, \dfrac{\pi}{4}\right). If QQ is the image of PP about yy axis, then the polar coordinates of QQ are ______

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  3. Question 3

    Trigonometry - II. Asked once: 11 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    54
    The value of cos⁡210∘−cos⁡10∘cos⁡50∘+cos⁡250∘\cos^2 10^\circ - \cos 10^\circ\cos 50^\circ + \cos^2 50^\circ is equal to....

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  4. Question 4

    Complex Numbers. Asked once: 23 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    146
    If x=−2+−3x= - 2 +\sqrt{- 3}, then the value of 2x4+5x3+7x2−x+382x^{4}+ 5x^{3}+ 7x^{2}-x+ 38 is equal to

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  5. Question 5

    Conic Sections. Asked once: 17 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    57
    If the line 3x+4y+k=03x + 4y + k = 0 touches the ellipse 9x2+16y2=1449x^2 + 16y^2 = 144, then the value of k is.

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