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  • Question 1
    4 / -1

    The area bounded by the curves y2 = x and x2 = –y is equal to

  • Question 2
    4 / -1

    Solution of the differential equation,

  • Question 3
    4 / -1

    Conic represented by x = 4(cost – sint) and y = 5(cost + sint) is (where t is the parameter) 

  • Question 4
    4 / -1

    Consider pair of straight lines 

    ax2 + 3xy – 2y2 – 5x + 5y + c = 0 representing perpendicular lines. Value of |a + c| equals 

  • Question 5
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    All the words formed by writing all the letters of word ZENITH are arranged as in English dictionary. Now the position of word ZENITH is (from beginning) 

  • Question 6
    4 / -1

    The relation R = {(1,1), (2,2), (3,3), (1,2), (2,1),(2,3),(3,2)} is defined on set A = {n : 3n > 4n–1, n ∈ N}. Relation R is

  • Question 7
    4 / -1

    then n(S) equals (where n(A) denotes number of elements in set A)

  • Question 8
    4 / -1

     from point P measured along a line inclined at an angle 45° with the line L and is minimum, then value of PQ equals

  • Question 9
    4 / -1

    and f(0) = 1 then value of f(π/2) equals

  • Question 10
    4 / -1

    Let A(z1), B(z2) and C(z3) lie on the circle |z – i| = 1 and satisfy the equation 3z1 + i = 2z2 + 2z3. If D is the centre of the circle |z – i| = 1, then area of quadrilateral ABCD equals :-

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