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Day 364: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 4 May 2023 S2 (same type asked 9 times) See all 9 of this type

    120
    If P(X=2)=0.3,P(X=3)=0.4,P(X=4)=0.3P(X=2)=0.3, P(X=3)=0.4, P(X=4)=0.3, then the variance of random variable X is

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  2. Question 2

    Limits. Asked once: 11 May 2024 S2 (same type asked 9 times) See all 9 of this type

    102
    If f(x)={x−3∣x−3∣+a,x<3a+b,x=3∣x−3∣x−3+b,x>3f(x) = \begin{cases} \frac{x-3}{|x-3|}+a, & x<3 \\ a+b, & x=3 \\ \frac{|x-3|}{x-3}+b, & x>3 \end{cases} is continuous at x=3x=3, then the value of a−ba-b is:

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  3. Question 3

    Linear Programming. Asked once: 21 Apr 2025 S1 (same type asked 9 times) See all 9 of this type

    139
    The L.P.P. , minimize z=30x+20y,x+y≤8z= 30x+ 20y,x+y\leq 8, x+2y≥4,6x+4y≥12,x⩾0,y⩾0x+ 2y\geq 4,6x+ 4y\geq 12,x\geqslant 0,y\geqslant 0 has

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  4. Question 4

    Trigonometric Functions. Asked once: 9 May 2023 S1 (same type asked 9 times) See all 9 of this type

    148
    For the triangle ABC, with usual notations, if the angles A, B, C are in A.P. and m∠A=30∘m\angle A=30^\circ, c=3c=3, then the values of a and b are respectively

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  5. Question 5

    Differentiation. Asked once: 22 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    131
    Derivative of x(xx)x^{\left( x^{x} \right)} is

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