Home
Class 12
MATHS
If angle C of a triangle ABC be obtuse, ...

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

A

`0 lt tan A tan B lt 1`

B

`tan A tan B gt 1`

C

`tan A tan B =1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC , the angle 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.

Knowledge Check

  • If angle C of a triangle ABC be 90^(@) , then tan A + tan B =

    A
    `( a^(2))/( bc)`
    B
    `(b^(2))/( ca)`
    C
    `(c^(2))/(ab)`
    D
    `a+b`
  • If triangle ABC , is obtuse angled at C , then

    A
    `AB gt BC`
    B
    `AB = BC`
    C
    `AB lt BC`
    D
    `AC lt BC`
  • In a triangle ABC, right angled at C, the value of tan A+tan B is

    A
    `a^2/(bc)`
    B
    `a+b`
    C
    `b^2/(ac)`
    D
    `c^2/(ab)`
  • Similar Questions

    Explore conceptually related problems

    For a /_\ABC, if cotA.cotB.cotCgt0 , then nature of the triangle is (A) acute angled triangle (B) right angled triangle (C) obtuse angled triangle (D) none of these

    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 triangle ABC,tan A+tan B+tan C=

    In a triangle ABC, right angled at C, find the value of tan A + tan B in terms of the sides a,b,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)