Properties of TriangleEasy
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.
Create a free account to view solution
View Solution FreeMore Properties of Triangle Questions
In ᐃABC, if a cos A = b cos B, then the triangle is -...Two lines are drawn through (3, 4), each of which makes angle of 45o with the line x - y = 2, Then area of the triangle ...Internal bisector of ∠A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects ...In a triangle ABC, medians AD and BE are drawn. If AD = 4, ∠DAB = and ∠ABE = , then the area of the ᐃ ...If in a triangle the angles are in A.P. and b : c = √3 : √2, then ∠A is equal to -...