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  • Question 1
    4 / -1

    Find the general solution of \(\frac{d y}{d x}=e^{x-y}\)

  • Question 2
    4 / -1

    The number of non-zero integral solutions of the equation \(|1-2 i|^{x}=5^{x}\) is:

  • Question 3
    4 / -1

    Let \(A=\left[\begin{array}{ll}2 & 4 \\ 3 & 2\end{array}\right], B=\left[\begin{array}{cc}1 & 3 \\ -2 & 5\end{array}\right], C=\left[\begin{array}{cc}-2 & 5 \\ 3 & 4\end{array}\right]\) Find \({A}+{B}=?\)

  • Question 4
    4 / -1

    Let \(p\) and \(q\) be two positive numbers such that \(p + q =2\) and \(p ^{4}+ q ^{4}=272\). Then \(p\) and \(q\) are roots of the equation:

  • Question 5
    4 / -1

    A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number \(1,2,3 \ldots \ldots 12\), then the probability that it will point to an odd number is:

  • Question 6
    4 / -1

    The value of \(\left|\begin{array}{ccc}a & b & c \\ b+c & c+a & a+b \\ a^2 & b^2 & c^2\end{array}\right|\)

  • Question 7
    4 / -1

    The value of sinπ10+sin13π10is:

  • Question 8
    4 / -1

    If \(z=-2+5 i\) then \(z^{2}+4 z+30\) is:

  • Question 9
    4 / -1

    Three vectors of magnitudes \(a, 2a, 3 a\) meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant is:

  • Question 10
    4 / -1

    In the expansion of \(\left(x^{3}-\frac{1}{x^{2}}\right)^{15}\), the constant term, is:

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