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Let ax^2+bx+c=0, ane0 (a,b,cinR) has no ...

Let `ax^2+bx+c=0, ane0` (a,b,c`in`R) has no real roots and a+b+2c=2
Statement-I: `ax^2+bx+cgt0``forallx in R`
Statement II: a+b is positive.

A

Statement-I is true, Statement-II is true and Statement -II is a correct explanation for Statement -I.

B

Statement-I is true, Statement -II is true but Statement-Ii is not a correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II Is true.

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If the equaiton ax^2+bx+c=0 where a,b,c in R have non-real roots then-

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    `c(a-b+c)gt0`
    B
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    B
    `absbgtabsc`
    C
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    D
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