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  • Question 1
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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 2
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    If \(\alpha\) and \(\beta\) are roots of the equation \(x^{2}-x-1=0\), then the equation whose roots are \(\frac{\alpha}{\beta}\) and \(\frac{\beta}{\alpha}\) is:

  • Question 3
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    If the polynomial x3 + 5x2 - 2 is divided by (x - 1), then the remainder must be

  • Question 4
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    The function f(x)=(9−x2)2 increasing in

  • Question 5
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    A circle has its center on the line \(4 y-3 x-1=0\) and passes through the points \((3,3)\) and \((-1,-1)\). Find the diameter of the circle.

  • Question 6
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    The value of \(\int_{-3}^{3}\left(a x^{5}+b x^{3}+c x+k\right) d x,\) where \(a, b, c, k\) are constant, depends only on

  • Question 7
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    The degree of the equation ex+sin(dy / dx)=3 is..........

  • Question 8
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    If 2tan−1x(cos x)=tan−1(2cosecx) then x equals

  • Question 9
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    Two vertices of a triangle are (5, 4) and (−2, 4) . If its centroid is (5, 6) then the third vertex has the coordinates -

  • Question 10
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    The number of ways in which 7 persons can address a meeting so that out of the three persons A, B and C, A will speak before B and B before C, is

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