Questions
If the absolute value of the difference of the roots of the equation exceeds then
a
a∈(−∞,−1)∪(4,∞)
b
a∈(4,∞)
c
a∈(−1,4)
d
a∈[0,4)
detailed solution
Correct option is A
We have, |α−β|>3a⇒|α−β|2>3a⇒(α+β)2−4αβ>3a⇒a2−4>3a⇒a2−3a−4>0⇒(a−4)(a+1)>0⇒a∈(−∞,−1)∪(4,∞)Talk to our academic expert!
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