Properties of TriangleHard
Question
In a triangle PQR, ∠R = 
. If tan
and tan 
are the roots of ax2 + bx + c = 0, a ≠ 0 then
. If tan and tan are the roots of ax2 + bx + c = 0, a ≠ 0 then Options
A.a = b + c
B.c = a + b
C.b = c
D.b = a + c
Solution
tan 
, tan
are the roots of ax2 + bx + c = 0
tan + tan = - 
tan tan = 
⇒
= 1 ⇒ 
⇒ - b = a - c
c = a + b.
, tan are the roots of ax2 + bx + c = 0tan
+ tan = - tan
tan = ⇒
= 1 ⇒ ⇒ - b = a - cc = a + b.
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