Number of +ve integer values of $'a'$ for which $x^{2}+x+a=0$  has roots of opposite sign is  Option 1) 0 Option 2) 1 Option 3) 2 Option 4) 3

H Himanshu

$D> 0$  &  $\frac{c}{a}< 0\: \Rightarrow \, 1-4a> 0$  &  $\frac{a}{1}< 0$

$\Rightarrow \: a< \frac{1}{4}$  &  $a<0\: \Rightarrow a< 0$

$\therefore$ Option (A)

Roots are of opposite sign -

$\frac{c}{a}< 0,D= b^{2}-4ac> 0$

-

Option 1)

0

This is correct

Option 2)

1

This is incorrect

Option 3)

2

This is incorrect

Option 4)

3

This is incorrect

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