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  • Question 1
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    If the sum of odd coefficients of (1+z)5 is x, find the number of solutions of a+b+c+d=x where -x

  • Question 2
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  • Question 3
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    The number of values of k for which the system of equations (k + 1) x + 8y = 4k and

    kx + (k + 3)y = 3k - 1 has infinitely many solutions is

  • Question 4
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    The eccentricity of an ellipse with its centre at the origin is 1/2. If one of the directrix is x = 4, then the equation of the ellipse is

  • Question 5
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  • Question 7
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  • Question 8
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    The greatest value of λ ≥ 0 for which both the equations 2x2 + ( λ − 1)x + 8 = 0 and x2 − 8x + λ + 4 = 0 have real roots is

  • Question 9
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  • Question 10
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