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Day 181: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    77
    The value of cc satisfied by the Rolle's theorem for the function f(x)=x2(1−x)2,x∈[0,1]f(x) = x^2(1 - x)^2, x \in [0, 1] is...

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  2. Question 2

    Binomial Distribution. Asked once: 19 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    97
    The probability that a bomb will hit the target is 0.80.8. Out of 66 bombs dropped, probability that at least 11 will miss the target is...

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  3. Question 3

    Applications of Derivative. Asked once: 13 May 2026 S1 (same type asked 8 times) See all 8 of this type

    76
    The radius of a spherical soap bubble is increasing at a constant rate of 0.50.5 cm/sec. At the instant when the radius is 55 cm, the rate at which its volume is increasing is...

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  4. Question 4

    Definite Integration. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    83
    The value of ∫24({x}+[x]) dx=\int_2^4(\{x\} + [x])\,dx =...(where {x}\{x\} and [x][x] are the fractional part function and the greatest integer function, respectively)

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  5. Question 5

    Differentiation. Asked once: 12 May 2026 S1 (same type asked 8 times) See all 8 of this type

    72
    If x=asin⁡t−bcos⁡t,y=acos⁡t+bsin⁡tx = a\sin t - b\cos t, y = a\cos t + b\sin t and it is given that d2ydx2=0\dfrac{d^2y}{dx^2} = 0, then

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