It will intersect X axis when Y = 0…ie. ax^2+bx+c = 0…has real roots… ie discriminant > 0 b^2 – 4ac >= o b^2 >= 4ac
Use (1): If a > 0, RHS depends on c.. Use (2): If c < 0, RHS depends on a… Combine both.. a>0 and c <0..so ac < 0 Since square of a number is always > 0…we can say that b^2 > 4ac.. Ans is C
It will intersect X axis when Y = 0…ie. ax^2+bx+c = 0…has real roots…
ie discriminant > 0
b^2 – 4ac >= o
b^2 >= 4ac
Use (1):
If a > 0, RHS depends on c..
Use (2):
If c < 0, RHS depends on a…
Combine both..
a>0 and c <0..so ac < 0
Since square of a number is always > 0…we can say that b^2 > 4ac..
Ans is C