NDA2019MathematicsBasics of MathematicsActual
Let A B = x (x-a)(x-b) 0 , where a b . What are A and B equal to?
Options
- AA = x x a and B = x x b
- BA = x x a and B = x x b
- CA = x x a and B = x x b
- DA = x x a and B = x x b
Correct answer
B. A = x x a and B = x x b
Step-by-step solution
A B= x:(x-a) (x-b) 0 ; a b eleminating options (a) x a has two signs in range (a, ) x a is not possible (b) x a satisfies and x b has only one sign in range ( b, ) x b also satisfies. A= x: x a and B= x: x b