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Question

If the roots of the quadratic equation x2+px+q=0 are tan 30 and tan 15, respectively, then value of 2 + q - p is

A
2
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B
3
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C
\N
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D
1
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Solution

The correct option is B 3
x2+px+q=0
Sum of roots = tan 30+tan 15=p
Product of roots = tan 30.tan 15=q
tan 45=tan 30+tan 151tan 30.tan 15=p1q=1p=1qqp=12+qp=3

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