If the roots of the quadratic equat...
Question
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If the roots of the quadratic equation x^2 + px + q = 0 are tan 30° and tan 15°, respectively then the value of 2 + q - p is-  

(A) 3  

(B) 0  

(C) 1  

(D) 2

JEE/Engineering Exams
Maths
Solution
109
Rating
4.0 (1 ratings)
If the roots of the quadratic equation x^2 + px + q = 0 are tan 30° and tan 15°, respectively then the value of 2 + q - p is-
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x2+px+q=0 given ,α =tan 30o=13  &      β  =tan 15o                                                                    =tan (45o-30o)                                                                    =2-3     so, α +β =-p1    13+2-3=-pp=3-13-2  p=3-1-233=2-233=23-2    αβ=ca=q1    x+q-p =2+23-1-23-2     =2+23-1-23+2 = 4-1 =3 ans . opition (a) is correct 

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