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Question: If a and b (a\<b) are the roots of the equation x<sup>2</sup> + bx + c = 0, where c \< 0 \< b, then...

If a and b (a<b) are the roots of the equation

x2 + bx + c = 0, where c < 0 < b, then-

A

0 <a<b

B

a< 0 <b< | a |

C

a<b< 0

D

a< 0 < | a | <b

Answer

a< 0 <b< | a |

Explanation

Solution

a < b; c < 0; b > 0

V(b2,D4)\left( \frac{- b}{2},\frac{- D}{4} \right) Ž V(– ve , – ve)

Ž a < 0 < b < |a|