NTA Abhyas JEE Main2020MathematicsQuadratic EquationPractice
For the equation x 2 - 2 x - 3 = b , which of the following statements is true?
Options
- AFor b < 0 , there are no solutions
- BFor b = 0 , there are three solutions
- CFor 0 < b < 4 , there are two solutions
- DFor b = 4 , there are four solutions
Correct answer
A. For b < 0 , there are no solutions
Step-by-step solution
b < 0 → n o s o l u t i o n b = 0 → t w o s o l u t i o n s 0 < b < 4 → f o u r s o l u t i o n s b = 4 → t h r e e s o l u t i o n s