Home
Class 12
MATHS
IF A,B,C are angles of a triangle, then ...

IF A,B,C are angles of a triangle, then the minimum value of `tan^2""A/2+tan^2""B/2+tan^2""C/2` is

A

0

B

1

C

`1//2`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

If A, B,C are angles of a acute angled triangle then the least value of tan A tan B tan C is

Assertion (A) : In a DeltaABC the minimum value of tan^(2)A//2+tan^(2)B//2+tan^(2)C//2 is 1 Reason (R) : a^(2)+b^(2)+c^(2)-ab-bc-ca= ge0

If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"(C )/(2) , then sin A, sin B, sin C are in

In Delta ABC, (a+b+c)(tan""A/2+tan""B/2)tan""C/2=

If A, B and C are interior angles of a triangle ABC, then show that tan((A + B)/(2)) = cot ""(C)/(2)

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot C//(2)

tan ""(A)/(2) + tan ""(B)/(2) + tan""(C )/(2) =

In Delta ABC, tan 2A+ tan 2B+ tan 2C=

If ABC is a triangle and tan"" (A)/(2) , tan"" (B)/(2) , tan "" (C )/( 2) are in H.P. then the minimum value of cot"" (B)/(2) is equal to