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  • Question 1
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    If \(\frac{e^{x}}{1-x}=B_{0}+B_{1} x+B_{2} x^{2}+\ldots+B_{n} x^{n}+\ldots\), then the value of \(B_{n}-B_{n-1}\) is:

  • Question 2
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    If \(\left|\begin{array}{ccc}8 & -5 & 1 \\ 5 & x & 1 \\ 6 & 3 & 1\end{array}\right|=2,\) then what is the value of \(x ?\)

  • Question 3
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    If A = {a, b} then which of the following is the power set of A ?

  • Question 4
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    If a matrix A has inverses B and C, then which one of the following is correct?

  • Question 5
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    What is \(\lim _{x \rightarrow 2} \frac{x^{3}+x^{2}}{x^{2}+3 x+2}\) equal to?

  • Question 6
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    Evaluate \(\underset{{x \rightarrow 2}}{\lim} \frac{\sqrt{3-x}-1}{2-x}\).

  • Question 7
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    The value of \(\int \sqrt{\mathrm{x}} \mathrm{e}^{\sqrt{\mathrm{x}}} \mathrm{dx}\) is equal to:

  • Question 8
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    The solution to the differential equation dy = (1 + y2) dx is:

  • Question 9
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    \(\int \frac{1}{\mathrm{x}}(\log \mathrm{x}) \mathrm{dx}\) is equal to:

  • Question 10
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    Find the angle between the line \(\frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6}\) and the plane \(10 {x}+2 {y}-11 {z}-3=0\).

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