Bihar Board 12th Mathematics - 121-327 - Set-A Question Paper with Solutions PDF Download

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    Bihar Board Class 12th Mathematics Solved Paper 2025 (Set-A)

    Mathematics

    Relations & Functions

    2 Questions

    If f:RRf: \mathbb{R} \to \mathbb{R} is defined by f(x)=3x+2f(x) = 3x + 2, then f(f(x))f(f(x)) equals:

    A

    9x+89x + 8

    B

    6x+46x + 4

    C

    9x+49x + 4

    D

    3x+83x + 8

    Answer(Detailed Solution Below)Option A :

    9x+89x + 8

    A relation RR on set A={1,2,3}A = \{1, 2, 3\} is defined as R={(1,1),(2,2),(3,3),(1,2),(2,1)}R = \{(1,1),(2,2),(3,3),(1,2),(2,1)\}. Then RR is:

    A

    Reflexive and Symmetric but not Transitive

    B

    Equivalence Relation

    C

    Reflexive only

    D

    Symmetric only

    Answer(Detailed Solution Below)Option B :

    Equivalence Relation

    Mathematics

    Matrices

    2 Questions

    If A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, then A+ATA + A^T equals:

    A

    (2558)\begin{pmatrix} 2 & 5 \\ 5 & 8 \end{pmatrix}

    B

    (1554)\begin{pmatrix} 1 & 5 \\ 5 & 4 \end{pmatrix}

    C

    (2468)\begin{pmatrix} 2 & 4 \\ 6 & 8 \end{pmatrix}

    D

    (0110)\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}

    Answer(Detailed Solution Below)Option A :

    (2558)\begin{pmatrix} 2 & 5 \\ 5 & 8 \end{pmatrix}

    The order of matrix AA is 3×43 \times 4 and BB is 4×34 \times 3. What is the order of ABAB?

    A

    4×44 \times 4

    B

    3×33 \times 3

    C

    3×43 \times 4

    D

    4×34 \times 3

    Answer(Detailed Solution Below)Option B :

    3×33 \times 3

    Mathematics

    Differential Calculus

    2 Questions

    If y=sin1(x)y = \sin^{-1}(x), then dydx\dfrac{dy}{dx} equals:

    A

    11x2\dfrac{1}{\sqrt{1-x^2}}

    B

    11x2\dfrac{-1}{\sqrt{1-x^2}}

    C

    11+x2\dfrac{1}{1+x^2}

    D

    1x2\sqrt{1-x^2}

    Answer(Detailed Solution Below)Option A :

    11x2\dfrac{1}{\sqrt{1-x^2}}

    The value of 0π/2sinxdx\displaystyle\int_0^{\pi/2} \sin x \, dx is:

    A

    00

    B

    22

    C

    11

    D

    π\pi

    Answer(Detailed Solution Below)Option C :

    11

    Mathematics

    Probability

    1 Question

    If P(A)=12P(A) = \dfrac{1}{2}, P(B)=13P(B) = \dfrac{1}{3} and AA and BB are independent events, then P(AB)P(A \cap B) is:

    A

    56\dfrac{5}{6}

    B

    16\dfrac{1}{6}

    C

    14\dfrac{1}{4}

    D

    23\dfrac{2}{3}

    Answer(Detailed Solution Below)Option B :

    16\dfrac{1}{6}

    FAQs — Bihar Board 12th Mathematics - 121-327 - Set-A Question Paper with Solutions

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