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Mathematics Test 118

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Mathematics Test 118
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Weekly Quiz Competition
  • Question 1
    4 / -1

    The locus of centre of circles which bisect the circumfernce of circle x2 + y2 = 9 and  x2 + y2 – 2x – 4y + 2 = 0 is

    Solution

     

  • Question 2
    4 / -1

    Tangents are drawn from point (1, 4/5) to parabola  (y-4)2 = 8 (x-3) then angle between tangents-

    Solution

    Point lie on directrix so angle will be 90°.

     

  • Question 3
    4 / -1

    Tangents are drawn from the following points to ellipse  x2/25 + y2/16 = 1. Identify the point from which tangents drawn are at right angle-

    Solution

    Point should lie on director circle x2 + y2 = 41

     

  • Question 4
    4 / -1

     be any square matrix. Then det(adj(adj(adj(adj A)))) =

    Solution

     

  • Question 5
    4 / -1

    If 4th and 7th term of G.P. are 7! and 8! respectively and sum of first n terms of G.P. is 19530, then n is equal to -

    Solution

     

  • Question 6
    4 / -1

    Equation of the normal to the curve  at (1, 3) is : (Where [.] represent greatest integer function)

    Solution

     

  • Question 7
    4 / -1

    Let f : R → R be given by  is continuous at x1, x2 and x3 then which of following is incorrect :

    Solution

    f(x) is continuous at x3 – 5x = 2x2 – 6

    x3 – 2x2 – 5x + 6 = 0

    x = –2, 1, 3

    x1 = –2, x2 = 1, x3 = 3

     

  • Question 8
    4 / -1

    The value of  will be (where C is integral constant)

    Solution

     

  • Question 9
    4 / -1

    The equation of tangent to parabola x = y2 - 2y + 3, which is perpendicular to straight line y = 2x + 3, will be

    Solution

     

  • Question 10
    4 / -1

    Let p be the sum of infinite terms of the series 1 + 1/2 + 1/22 + ....∞ and q be the 20th term of 1, 1, 2, 3, 4, ...., then the quadratic equation whose roots are p & q will be :

    Solution

     

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