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Day 435: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 19 Apr 2026 S2

    52
    Point A(5,12)A(5, 12) rotated about the origin O in the XY-plane through an angle of 30∘30^\circ in the anticlockwise direction to a new position B. The ordinate of point B is...

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  2. Question 2

    Trigonometric Functions. Asked once: 19 May 2026 S1

    55
    The adjacent sides of a cyclic quadrilateral are 2 and 5, and the angle between them is 60∘60^\circ. If the area of the quadrilateral is 434\sqrt{3} sq. units then the perimeter of quadrilateral (in units) is:

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  3. Question 3

    Trigonometry - II. Asked once: 13 May 2026 S1

    52
    If cos⁡A+sin⁡Acos⁡A−sin⁡A=cot⁡(2A)\dfrac{\cos A + \sin A}{\cos A - \sin A} = \cot(2A), where A∈(0,π2)−{π4}A \in \left(0, \dfrac{\pi}{2}\right) - \left\{\dfrac{\pi}{4}\right\}, then the value of AA (in degrees) is...

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  4. Question 4

    Vectors. Asked once: 15 May 2026 S2

    91
    A unit vector uˉ\bar{u} makes an angle of 45∘45^\circ with the X- axis. If uˉ+j^+k^\bar{u} + \hat{j} + \hat{k} is also a unit vector, then the sum of the projections of uˉ\bar{u} on the coordinate axes is:

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  5. Question 5

    Applications of Definite Integral. Asked once: 13 Apr 2026 S2

    83
    The area of the region bounded by the curve y=2kxy = 2^{kx} and x=0,x=2x = 0, x = 2, in first quadrant is 2log⁡2\dfrac{2}{\log 2}, then the value of kk is

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