Suppose the quadratic equations 
and 
are such that 
are real and 
. Then
a)
Both the equations always have real roots
b)
At least one equation always has real roots
c)
Both the equation always have non-real roots
d)
At least one equation always has real and equal roots
Suppose the quadratic equations and are such that are real and . Then
a)
Both the equations always have real roots
b)
At least one equation always has real roots
c)
Both the equation always have non-real roots
d)
At least one equation always has real and equal roots
Question ID - 103287 | SaraNextGen Top Answer
Suppose the quadratic equations and are such that are real and . Then
a)
Both the equations always have real roots
b)
At least one equation always has real roots
c)
Both the equation always have non-real roots
d)
At least one equation always has real and equal roots
|
Suppose the quadratic equations |
|||
|
a) |
Both the equations always have real roots |
b) |
At least one equation always has real roots |
|
c) |
Both the equation always have non-real roots |
d) |
At least one equation always has real and equal roots |
(b)
Let the discriminant of the equation 
is 
and the discriminant of the equation 
(from the given relation)
Clearly, at least one of 
and 
must be non-negative, consequently at least one of the equation has real roots.