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Question

If the difference between the roots of the equation x2+ax+1=0 is less than 5, then which of the following can be the possible values of a ?

A
4
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B
2
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C
1
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D
3
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Solution

The correct option is C 1
Let p,q be the roots of the equation x2+ax+1=0 and
|pq|<5
p+q=a,p×q=1

(p+q)24pq<5

a24<5
a24<5
a2<9
3<a<3
a(3,3)

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