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Day 440: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 17 Apr 2026 S2

    54
    The line y=2x+cy = 2x + c passes through a point that is equidistant from both the axes and lies in the first quadrant (x>0,y>0)(x > 0, y > 0). Then the value of c is...

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  2. Question 2

    Trigonometric Functions. Asked once: 15 May 2026 S2

    54
    In a triangular plot ABCABC, the side lengths are BC=7 mBC = 7\,m, CA=8 mCA = 8\,m, and AB=9 mAB = 9\,m. A vertical lamp post is located at the midpoint EE of side ACAC. If the angle of elevation of the top of the lamp post from point BB is tan⁡−1(4)\tan^{-1}(4), then the height of the lamp post is...

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  3. Question 3

    Trigonometry - II. Asked once: 12 May 2026 S2

    53
    If f(x)=sin⁡x+cos⁡xf(x) = \sin x + \cos x, then which of the following is true?

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  4. Question 4

    Vectors. Asked once: 15 May 2026 S1

    91
    If aˉ=i^+2j^+2k^\bar{a} = \hat{i} + 2\hat{j} + 2\hat{k}, bˉ=2i^−2j^+k^\bar{b} = 2\hat{i} - 2\hat{j} + \hat{k} and cˉ\bar{c} is a vector projection of aˉ\bar{a} on the line of bˉ\bar{b}, then the value of [2aˉ 3bˉ 3cˉ][2\bar{a}\ 3\bar{b}\ \sqrt{3}\bar{c}] is

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  5. Question 5

    Applications of Definite Integral. Asked once: 11 Apr 2026 S2

    83
    The area bounded by the curve y=x∣sin⁡(x2)∣y = x\left|\sin\left(\dfrac{x}{2}\right)\right| and the X-axis between the lines x=0x = 0 and x=4πx = 4\pi (in square units), is....

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