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Day 425: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 14 May 2026 S2

    57
    Point C and D divide segment AB respectively internally and externally, in the ratio m:n then B divides CD internally in the ratio --------

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  2. Question 2

    Trigonometric Functions. Asked once: 19 May 2026 S2

    62
    If sin⁡−1x+sin⁡−1y+sin⁡−1z=π\sin^{-1}x + \sin^{-1}y + \sin^{-1}z = \pi, then x4+y4+z4+4x2y2z2=x^4 + y^4 + z^4 + 4x^2y^2z^2 =

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  3. Question 3

    Trigonometry - II. Asked once: 14 May 2026 S1

    52
    cos⁡(4A)=\cos(4A) =

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  4. Question 4

    Vectors. Asked once: 19 May 2026 S1

    91
    If the vector rˉ\bar{r} is perpendicular to i^−k^\hat{i} - \hat{k} and rˉ×(i^+xj^−k^)=i^+2j^+3k^\bar{r} \times (\hat{i} + x\hat{j} - \hat{k}) = \hat{i} + 2\hat{j} + 3\hat{k}, then the value of rˉ⋅(i^+xj^−k^)=\bar{r} \cdot (\hat{i} + x\hat{j} - \hat{k}) =

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  5. Question 5

    Applications of Definite Integral. Asked once: 17 Apr 2026 S2

    85
    The area of the region bounded by curves y=sin⁡x,y=cos⁡xy = \sin x, y = \cos x and the lines x=0,x=π4x = 0, x = \dfrac{\pi}{4} is

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