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  • Question 1
    4 / -1

    Let f(x) be a continuous function such that f(a – x) + f(x) = 0 for all x[0,a]. Then, the value of the integral is equal to

  • Question 2
    4 / -1

    The circles which can be drawn to pass through (1,0) & (3,0) and touching the y-axis, intersect at an angle θ. The value of cos θ is equal to

  • Question 3
    4 / -1

    a, b, c are positive numbers and abc2 has the greatest value 1/ 64. Then

  • Question 4
    4 / -1

    If A and B are two square matrices such that B = –A–1 BA, then (A+B)2 is equal to

  • Question 5
    4 / -1

    The set of all values of the parameter a for which the points of minimum of the function y = 1 + a2 x – x3
    Satisfy the inequality 

  • Question 6
    4 / -1

    The value of  is

  • Question 7
    4 / -1

    The function 

  • Question 8
    4 / -1

    If for a variable line   the condition a–2 + b–2 = c–2 (c is a constant), is satisfied, then the locus of foot of the perpendicular drawn from origin to this is:

  • Question 9
    4 / -1

    The eccentricity of the hyperbola whose latus rectum is half of its transverse axis, is

  • Question 10
    4 / -1

    A tangent having slope of  to the ellipse  intersects the major and minor axes in points A and B respectively. If C is the center of the ellipse then the area of the triangle ABC is:

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