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  • Question 1
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  • Question 2
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    The mid points of the sides of a triangle are (5, 0), (5, 12) and (0, 12), then orthocentre of this triangle is

  • Question 3
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    If k + |k + z2| = |z|2 where k is real, then a possible argument of z is

  • Question 4
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    If 2 sec 2α = tan β + cot β, then one of the values of α + β is

  • Question 5
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    The axis of a parabola lie along the line y = x and the distance of its vertex from origin is √2 and that of focus is 2√2. If both focus and vertex lie in the first quadrant, then the equation of the parabola will be

  • Question 6
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  • Question 7
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    If sin(xy) + cos(xy) = 1 and tan(xy) ≠ 1, then dy/dx is equal to

  • Question 8
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    The solution of xdx + ydy = x2ydy − xy2dx is

  • Question 9
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    If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at distinct points A and B, then the locus of the midpoint of AB is

  • Question 10
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    If the function f defined as  is continuous at x = 0, then the ordered pair (k, f(0)) is equal to

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