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Day 345: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 20 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    123
    The particular solution of the differential equation cos⁡(dy dx)=7,y=1\cos\left( \frac{dy}{\text{ }dx} \right)= 7,y= 1 at x=0x= 0 is

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  2. Question 2

    Trigonometric Functions. Asked once: 13 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    67
    Let f(x)=(sin⁡−1x)2+(cos⁡−1x)2f(x) = (\sin^{-1}x)^2 + (\cos^{-1}x)^2 be a real-valued function defined on its domain. Then the sum of the greatest and the least values of f(x)f(x) is

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  3. Question 3

    Vectors. Asked once: 19 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    90
    Let O(0,0),A(−1,2)O(0, 0), A(-1, 2) and B(1,3)B(1, 3) be the vertices of △OAB\triangle OAB. The bisector of angle O intersects side AB at point D. The value of OD⃗⋅AB⃗\vec{OD}\cdot\vec{AB} is equal to...

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  4. Question 4

    Line and Plane. Asked once: 18 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    95
    The angle between the line rˉ=(i^+2j^+k^)+λ(i^+j^+k^)\bar{r} = (\hat{i} + 2\hat{j} + \hat{k}) + \lambda(\hat{i} + \hat{j} + \hat{k}) and the plane rˉ⋅(2i^−j^+k^)=8\bar{r}\cdot(2\hat{i} - \hat{j} + \hat{k}) = 8 is …\ldots

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  5. Question 5

    Applications of Derivative. Asked once: 23 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    128
    The point on the curve 4y2−4y+2x−1=04y^{2}- 4y+ 2x- 1 = 0 at which the tangent becomes parallel toY-axis is

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