For what values of m does the system of equations 3x + my = m, 2x – 5y = 20 have solutions satisfying x > 0, y > 0?
a) m ε (
b) m ε (
c) m ε ( ∪ (
d) m ε (
Given
and f(x) is a quadratic polynomial. V is a point of maximum of f(x) and ‘A’ is the point where f(x) cuts the X–axis. ‘B’ is a point such that AB subtends a right angle at V. Find the area between chord AB and f(x).
a) 125
b) 125/2
c) 125/3
d) 125/6