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Day 307: MHT-CET Maths

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

  1. Question 1

    Complex Numbers. Asked once: 16 May 2023 S2 (same type asked 4 times) See all 4 of this type

    104
    If z1=5−2iz_1 = 5-2i and z2=3+iz_2 = 3+i, where i=−1i = \sqrt{-1}, then arg⁡(z1+z2z1−z2)\arg\left(\frac{z_1+z_2}{z_1-z_2}\right) is

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  2. Question 2

    Vectors. Asked once: 11 May 2023 S1 (same type asked 4 times) See all 4 of this type

    136
    The area of the triangle with vertices (1,2,0), (1,0,2) and (0,3,1) is

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  3. Question 3

    Applications of Derivative. Asked once: 4 May 2023 S2 (same type asked 4 times) See all 4 of this type

    144
    The equation of the tangent to the curve y=1−ex/3y=1-e^{x/3} at the point of intersection with Y-axis is

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  4. Question 4

    Vectors. Asked once: 11 May 2023 S2 (same type asked 4 times) See all 4 of this type

    134
    The number of unit vectors perpendicular to a⃗=(1,1,0)\vec{a}=(1,1,0) and b⃗=(0,1,1)\vec{b}=(0,1,1) is

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  5. Question 5

    Probability Distribution. Asked once: 13 May 2024 S2 (same type asked 4 times) See all 4 of this type

    128
    The c.d.f. F(x)F(x) associated with p.d.f. f(x)={12x2(1−x),0<x<10,otherwisef(x)=\begin{cases}12x^2(1-x), & 0<x<1\\ 0, & \text{otherwise}\end{cases} is

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