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  • Question 1
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    What is the order of \(\left[\begin{array}{lll}4 & 4 & 1\end{array}\right]\left[\begin{array}{lll}3 & 2 & 5 \\ 9 & 7 & 4 \\ 6 & 4 & 1\end{array}\right]\) ?

  • Question 2
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    If \(f(x)\) is a quadratic polynomial with vertex \(V(1, \alpha),\) then the integral \(I=\int_{0}^{2} \frac{e^{f(x)}}{e^{f(x)}+e^{f(2-x)}} d x\) is equal to:

  • Question 3
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    If \(x=2+3 \cos \theta\) and \(y=1-3 \sin \theta\) represent a circle then the centre and radius is:

  • Question 4
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    How many different words can be formed by using all the letters of the word, ALLAHABAD if both L's do not come together? 

  • Question 5
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    Evaluate:

    \(\frac{\cos x-\sin x+1}{\cos x+\sin x-1}\)

  • Question 6
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    In a simultaneous throw of a pair of dice, the probability of getting a total more than 7 is:

  • Question 7
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    What are the two main types of measures of dispersion?

  • Question 8
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    Find the area under the curve \(y=\cos x\) in the interval \(0

  • Question 9
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    If \(\sin x+\operatorname{sin}^{2} x=1\), then \(\cos ^{4} x+\cos ^{2} x\) is equal to:

  • Question 10
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    If \(\lim _{x \rightarrow a} \frac{a^{x}-x^{a}}{x^{x}-a^{a}}=-1\), then what is the value of \(a\) ?

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