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Day 446: MHT-CET Maths

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

  1. Question 1

    Circle. Asked once: 16 Apr 2026 S2

    58
    Line l:x+y=4l : x + y = 4 intersects the circle x2+y2−2x−2y=2x^2 + y^2 - 2x - 2y = 2 at points AA and BB. If C is the center of the circle, then the area of △ABC\triangle ABC is...

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  2. Question 2

    Complex Numbers. Asked once: 19 Apr 2025 S2

    140
    If z−12z+1\frac{z- 1}{2z+ 1} is an imaginary number and if it represents a circle then its radius is

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  3. Question 3

    Conic Sections. Asked once: 20 Apr 2026 S2

    58
    If PP be any point on the ellipse 16x2+25y2=40016x^2 + 25y^2 = 400 with foci SS and S′S' and area of △PSS′\triangle PSS' is 9 square units, then the abscissa of point PP is..........

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  4. Question 4

    Definite Integration. Asked once: 14 May 2026 S2

    83
    ∫01sin⁡−1x(2−x)cos⁡−1x+sin⁡−1x(2−x) dx=…\displaystyle\int_0^1\dfrac{\sin^{-1}\sqrt{x(2 - x)}}{\cos^{-1}x + \sin^{-1}\sqrt{x(2 - x)}}\,dx = \ldots

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  5. Question 5

    Determinants and Matrices. Asked once: 15 Apr 2026 S1

    66
    If A=[cos⁡θ−sin⁡θsin⁡θcos⁡θ]A = \begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}, then the matrix A−3A^{-3} when θ=π6\theta = \dfrac{\pi}{6} is equal to...

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