Definite IntegrationHard
Question
If 
= 0, where C0, C1, C2 are all real, the equation C2x2 + C1x + C0 = 0 has:
= 0, where C0, C1, C2 are all real, the equation C2x2 + C1x + C0 = 0 has: Options
A.atleast one root in (0, 1)
B.one root in (1, 2) & other in (3, 4)
C.one root in (-1, 1) & the other in (- 5, - 2)
D.both roots imaginary
Solution
dx=
= 
= 0 (given)⇒ graph y = C2x2 + C1x + C0 crosses x-axis atleast once.
⇒ at least one root of the equation C2x2 + C1x + C0 = 0 is present in (0, 1)
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