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Day 469: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 21 Apr 2025 S1

    146
    If the line 2x+y=k2x+y= k passes though the point which divides the line segment joining the points (1,1)(1,1) and (2,4)(2,4) internally in the ratio 3:23:2 then, (k+1):(k−1)=(k+ 1):(k- 1) =

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  2. Question 2

    Trigonometric Functions. Asked once: 12 May 2026 S1

    52
    If sin⁡xcos⁡x=14\sin x\cos x = \dfrac{1}{4}, then the general solution of the equation is ...

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  3. Question 3

    Trigonometry - II. Asked once: 11 Apr 2026 S1

    54
    The value of the expression tan⁡(x−9π)\tan(x - 9\pi) is equal to:

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  4. Question 4

    Vectors. Asked once: 12 May 2026 S2

    88
    If aˉ,bˉ\bar{a}, \bar{b} are unit vectors and aˉ⋅bˉ=0\bar{a}\cdot\bar{b} = 0, then (aˉ−2bˉ)⋅{(2aˉ+bˉ)×(aˉ×bˉ)}=…(\bar{a} - 2\bar{b})\cdot\{(2\bar{a} + \bar{b}) \times (\bar{a} \times \bar{b})\} = \ldots

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  5. Question 5

    Applications of Definite Integral. Asked once: 2 May 2023 S2

    132
    The area (in sq. units) bounded by the curves y=xy = \sqrt{x}, 2y−x+3=02y - x + 3 = 0, X-axis and lying in the first quadrant is

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