The points representing the complex number z for which arg lie on
a circle
a straight line
an ellipse
a parabola
Let a, b, c, p, q and r be positive real numbers such that a, band c are in GP and ap = bq = cr . Then,
p, q, r are in GP
p, q, r are in AP
p, q, r are in HP
p2, q2, r2 are in AP
Let Sk be the sum of an infinite GP series whose first term is k and common ratio is (k > 0). Then, the value of is equal to
1 -
1 -
D.
1 -
The quadratic equation 2x2 - (a3 + 8a - 1)x + a2 - 4a = 0 posses roots of opposite sign. Then,
a 0
0 < a < 4
The number of real values of a for which the system of equations
x + 3y + 5z =
5x + y + 3z =
3x + 5y + z =
has infinite number of solutions is
1
2
4
6
The total number of injections (one-one into mappings) from {a1, a2, a3, a4} to {b1, b2, b3, b4, b5, b6, b7} is
400
420
800
840