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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
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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
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
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
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