If angle C of a triangle ABC be obtuse, then (A) `0 < tan A tan B < 1` (B) `tan A tan B > 1` (C) `tan A tan B=1` (D) none of these

In a triangle ABC if tan C lt 0 then :

If in a triangle ABC, tanA+tanB+tanC>0 the triangle is (A) acute angled triangle (B) obtuse angled (C) right angled (D) none of these

If A +B+C= pi and /_C is obtuse then tan A. tan B is

If A, B and C are angles of a triangle such that angleA is obtuse, then show tan B tan C lt 1.

The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

In a triangle ABC if sin A cos B = 1/4 and 3 tan A = tan B , then the triangle is

In a triangle ABC, points D and E are taken on side BC such that BD= DE= EC. If angle ADE = angle AED = theta , then: (A) tan theta = 3 tan B (B) 3 tan theta = tan C (C) (6tan theta )/( tan^2 theta -9)= tanA (D) angleB = angle C

In a triangle ABC, points D and E are taken on side BC such that BD= DE= EC. If angle ADE = angle AED = theta , then: (A) tan theta = 3 tan B (B) 3 tan theta = tan C

Statement-1: If A, B, C are the angles of a triangle such that angle A is obtuse, then tan C gt1. Statement-2: In any DeltaABClt we have tanA=(tanB+tanC)/(tanBtanC-1)

If in a triangle ABC, b + c = 3a, then tan (B/2)tan(C/2) is equal to