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  • Question 1
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    The sum of all integers between 100 and 500 which are divisible by 11 is

  • Question 2
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    \begin{equation}\text { fi } f(x)=\left\{\begin{array}{cl}
    \frac{1-\sqrt{2} \sin x}{\pi-4 x}, & x \neq \frac{\pi}{4} \\
    a, & x=\frac{\pi}{4}
    \end{array} \text { is continuous at } \frac{\pi}{4}, \text { then } a\text { is equal to }\right.\end{equation}

  • Question 3
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    The line drawn from (4,−1,2)4 to the point (−3, 2,3) meets a plane at right angles at the point (−10,5,4), then the equation of plane is

  • Question 4
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    The slope of the tangent to the curve \(y=\int_{0}^{x} \frac{d t}{1+t^{3}}\) at the point where \(x=1\) is

  • Question 5
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    For \(A=\left[\begin{array}{ll}4 & 2 i \\ i & 1\end{array}\right],(A-2 I)(A-3 I)\) is a:

  • Question 6
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    If α,βα,β are roots of x2- 3x+1=0 then the equation whose roots are 1 / α-2,1 / β-2 is -

  • Question 7
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    If sin−1x−cos−1x = π/6 , then x is

  • Question 8
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    If ∫f(x)cosx dx=1 / 2{f(x)}2+c, then f(x) is

  • Question 9
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    The perpendicular from the origin to the line y=mx+c meets it at the point (−1,2), then the value of c is

  • Question 10
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    If x+1 / x=2cosθ then xn+1 / xnis equal to

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