Home
Class 12
MATHS
In a triangle ABC, a^4+b^4+c^4=2c^2(a^2+...

In a triangle `ABC`, `a^4+b^4+c^4=2c^2(a^2+b^2)` prove that `C=45^@` or `135^@`

A

`60^(@)`

B

`45^(@)`

C

`120^(@)`

D

`135^(@)`

Text Solution

Verified by Experts

The correct Answer is:
(b,d)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 1 : Single Option Correct Type|5 Videos

  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 2: Single Option Correct Type|1 Videos

  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : single Option Correct Type )|15 Videos

  • SETS , RELATIONS AND FUNCTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)|44 Videos

  • STATISTICS AND PROBABILITY

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 3 : One or More than One Option Correct Type ( 2 Marks) )|3 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC if a^4+b^4+c^4=2c^2(a^2+b^2) , then angle C is equal to (A) 60^0 (B) 120^0 (C) 45^0 (D) 135^0

In a triangle ABC, if a=2,b=4,c=5 then cosB=

Knowledge Check

  • In a triangle ABC, a^4 +b^4 +c^4 = 2(a^2 +c^2)b^2 then the angle B is

    A
    `45^@ , 135^@`
    B
    `45^@,45^@`
    C
    `45^@ ,90^@`
    D
    none of these

  • If in a triangle ABC ,b +c=4a then cot(B/2)cot(C/2) is equal to

    A
    5/3
    B
    1/2
    C
    1
    D
    3/5

  • If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then : m/_A = ...

    A
    `45^(@), 135^(@)`
    B
    `60^(@), 120^(@)`
    C
    45^(@)`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    In a triangle ABC, if a=2,b=4,c=5 then cosA=

    In any triangle ABC, prove that: Delta=(b^(2)+c^(2)-a^(2))/(4cot a)

    In a triangle ABC prove that a/(a+c)+b/(c+a)+c/(a+b)<2

    In triangle ABC , prove that b^2sin2C+c^2sin2B=2bcsinA .

    In triangle ABC , prove that a^2sin(B-C)=(b^2-c^2)sinA .

    Home
    Profile