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Day 466: MHT-CET Maths

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

  1. Question 1

    Applications of Definite Integral. Asked once: 10 May 2023 S2

    148
    The area (in sq. units) of the region {(x,y): x≥0,  x+y≤3,  x2≤4y and y≤1+x}\{(x,y):\ x\geq 0,\; x+y\leq 3,\; x^2\leq 4y \text{ and } y\leq 1+\sqrt{x}\} is

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  2. Question 2

    Applications of Derivative. Asked once: 18 Apr 2026 S2

    75
    Let g(x)=f(x)+f(1−x)g(x) = f(x) + f(1 - x) and f′′(x)<0,0≤x≤1f''(x) < 0, 0 \le x \le 1, then …\ldots

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  3. Question 3

    Circle. Asked once: 11 May 2024 S2

    146
    If a circle passes through points (4,0)(4,0) and (0,2)(0,2) and its centre lies on Y-axis. If the radius of the circle is r, then the value of r2−r+1r^2-r+1 is

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  4. Question 4

    Complex Numbers. Asked once: 4 May 2023 S1

    117
    Let (−2−13i)3=x+iy27\left(-2-\dfrac{1}{3}i\right)^{3}=\dfrac{x+iy}{27}, i=−1i=\sqrt{-1}, where xx and yy are real numbers, then (y−x)(y-x) has the value

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  5. Question 5

    Conic Sections. Asked once: 15 Apr 2026 S1

    60
    If the line 4x+3y=74x + 3y = 7 touches the hyperbola x2−y2=7x^2 - y^2 = 7, then the sum of the co-ordinates of the point of contact is...

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