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  • Question 1
    1 / -0

    If the mean of a binomial distribution is 25, then its standard deviation lies in the interval

  • Question 2
    1 / -0

    \begin{equation}\text { If } y = x ^{ x ^{2}}, \text { then } \frac{ dy }{ dx } \text { is equal to }\end{equation}

  • Question 3
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    \begin{equation}\text { If } \sin \left(\sin ^{-1} \frac{1}{7}+\cos ^{-1} x\right)=1, \text { then } x \text { is equal to }\end{equation}

  • Question 4
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    If \((\sqrt{8}+i)^{50}=3^{49}(a+i b),\) then \(a^{2}+b^{2}\) is

  • Question 5
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    If the roots of the equation \(a x^{2}+b x+c=0\) are of the form \(\frac{k+1}{k}\) and \(\frac{k+2}{k+1}\) then \((a+b+c)^{2}\) is equal to

  • Question 6
    1 / -0

    \begin{equation}\text { If } f(x)=\left|\begin{array}{ccc}
    a & -1 & 0 \\
    a x & a & -1 \\
    a x^{2} & a x & a
    \end{array}\right|, \text { then } f(2 x)-f(x) \text { is  divisible by }\end{equation}

  • Question 7
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    The coefficient of x5 in (1+2x+3x2+……….up to infinite term)-3/2 is

  • Question 8
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    The equation of the normal to the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) at the positive end of the latus rectum is

  • Question 9
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    If the latus rectum of a hyperbola through one focus, subtends 60 ° angle at the other focus, then its eccentricity is

  • Question 10
    1 / -0

    Consider the matrix \(B=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right],\) then \(B ^{1027}\) equals

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