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  • Question 1
    1 / -0

    The line x = c cuts the triangle with corners (0, 0), (1, 1) and (9, 1) into two regions. For the area of the two regions to be the same c must be equal to :

  • Question 2
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    Which of the following functions is periodic?

  • Question 3
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    In triangle \(\Delta \mathrm{ABC}, \mathrm{CD}\) is the bisector of the angle \(\mathrm{C},\) If \(\cos C 2=1 / 3\) and \(\mathrm{CD}=6,\) then the value of \(1 / \mathrm{a}+1 / \mathrm{b}\). Where \(a, b\) and \(c\) are the lengths of the sides opposite to Angles \(a, b \& c\) respectively)

  • Question 4
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    The focal chord toy 2 = 16xis tangent to\((x-6)^{2} y^{2}=2\), then the possible values of the slope of this chord, are

  • Question 5
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    \(A=\left[\begin{array}{ccc}2 & +3 & +-4 \\ +1 & +0 & +6 \\ +-2 & +1 & +5\end{array}\right], B=\left[\begin{array}{ccc}5 & +1 & +2 \\ +6 & +-1 & +4 \\ +5 & +3 & +-4\end{array}\right]\), find \(2 A-3 B\)

  • Question 6
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    If \(f(x)\) is a polynomial satisfying \(f(x) f(1 / x)=f(x) f(1 / x)\) and \(f(2)>1\) then \(\lim _{x \rightarrow 1} f(x)\) is :

  • Question 7
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    If (1 + x + x2 )25 = a0 + a1 x + a2 x2 + .............a50 x50 then a0 + a2 + a4 + .........+ a50  is --

  • Question 8
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    If 5a + 4b + 20c = t, then the value of t for which the line ax + by + c - 1 = 0 always passes through a fixed point is

  • Question 9
    1 / -0

    The area of the curvilinear triangle bounded by the \(y\) -axis \(\&\) the curve \(y=\tan x \& y=2 / 3 \cos x\) is

  • Question 10
    1 / -0

    The equation of the pair of straight lines parallel to the \(y\) - axis and which are tangents to the circle \(x^{2}+y^{2}-6 x-4 y\) \(12=0\) is:

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