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Day 256: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 14 May 2024 S1 (same type asked 2 times) See all 2 of this type

    123
    If the angles A,BA,B and CC of a triangle are in an Arithmetic Progression and if a,ba,b and cc denote the lengths of the sides opposite to A,BA,B and CC respectively, then the value of the expression acsin⁡2C+casin⁡2A\dfrac{a}{c}\sin2C+\dfrac{c}{a}\sin2A is:

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  2. Question 2

    Applications of Derivative. Asked once: 20 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    113
    A manufacturer produces xx items per week at a total cost of ₹ ( x2+78x+2500x^{2}+ 78x+ 2500 ). The price per unit is given by 8x=600−p8x= 600 - p where ' p ' is the price of each unit. Then the maximum profit obtained is

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  3. Question 3

    Definite Integration. Asked once: 10 May 2024 S2 (same type asked 2 times) See all 2 of this type

    148
    ∫01cos⁡−1x dx=\displaystyle\int_0^1 \cos^{-1}x\,dx=

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  4. Question 4

    Pair of Straight Lines. Asked once: 22 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    130
    The circumradius of the triangle formed by the lines xy+2x+2y+4=0xy + 2x + 2y + 4 = 0 and x+y+2=0x + y + 2 = 0 is

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  5. Question 5

    Probability Distribution. Asked once: 21 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    120
    The c.d.f. of a discrete random variable XX is
    XXF(X=x)F(X = x)
    −3-30.1
    −1-10.3
    00.5
    10.65
    30.75
    50.85
    70.90
    91
    Then P[X=−3]P[X<0]=\frac{P\lbrack X = - 3\rbrack}{P\lbrack X < 0\rbrack}=

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