CAT Question of the Day Let a and b are positive integers. If each of the following equations have distinct positive integral roots, then find the roots of the given equations.
x2 – ax + b = 0
x2 - bx + a = 0
| OPTIONS | | |  | 1) | {1, 2, 3, 5} | | | 2) | {1, 5, 7, 2} | | | 3) | {1, 3, 4, 5} | | | 4) | {2, 3, 5, 6} |
Tip of the Day A line joining mid-points of two sides of a triangle is parallel to the third side and half of the third side. Last year's Question of the day (19-Jun-11) A function f(x) defined on the set of whole numbers is such that f(x + y) = f(x) × f(y).
If it is given that f(1) = (1 ÷ 3), find the sum of the following infinite series:
f(0) + f(1) + f(2) + f(3) + ....
| OPTIONS | | | | | 1) | (1 ÷ 2) | | | 2) | (3 ÷ 2) | | | 3) | (2 ÷ 3) | | | 4) | The given infinite series is not convergent and, hence, the required sum is not a finite number. |
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