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Posted Fri, 01/11/2008 - 00:06
  • The degree and order of the differential equation of the family of all parabolas whose axis is x-axis, are respectively

  • The area of the region bounded by the curves y = |x - 1| and y = 3 - |x| is

  • The real number x when added to its inverse gives the minimum value of the sum at x equal to

  • If x1, x2, x3 and y1, y2, y3 are both in G.P. with the same common ratio, then the points (x1, y1) (x2, y2) and (x3, y3)

  • Let f (x) be a polynomial function of second degree. If f (1) = f (- 1) and a, b, c are in A. P., then f' (a), f' (b) and f' (c)

  • A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questio

  • If the sum of the roots of the quadratic equation ax2 + bx + c = 0 is equal to the sum of the squares of their reciprocals, then

  • The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to (y2 = y square)

  • How many real solutions does the equation x7 + 14x5 + 16x3 + 30x – 560 = 0 have?

  • Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of

  • Let R be the real line. Consider the following subsets of the plane R × R. S = {(x, y) : y = x + 1 and 0 < t =" {(x,">

  • The conjugate of a complex number is 1/i-1. Then the complex number is

  • The point diametrically opposite to the point P (1, 0) on the circle x2 + y2 + 2x + 4y − 3 = 0 is

  • A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at

  • A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi

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