Home
Class 12
MATHS
For Delta ABC, if 81 + 144 a ^(4) + 16b...

For `Delta ABC, ` if `81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144` abc, (where notations have their usual meaning), then :

A

`a gt b gt c`

B

`A lt B lt C`

C

Area of `Delta ABC = (3 sqrt3)/(8)`

D

Triangle ABC is right angled

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|6 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, if A - B = 120^(2) and R = 8r , where R and r have their usual meaning, then cos C equals

If Delta ABC , if : a = 2, b = 4, C = 60^(@) , then : (A, B) =

In any triangle ABC, the value of (r_(1)+r_(2))/(1+cosC) is equal to (where notation have their usual meaning) :

Prove that a^(4)+b^(4)+c^(4)>abc(a+b+c), where a,b,c>0

In a triangle ABC , if tan(A/2)tan(C/2)=(1)/(3) and ac=4 ,then the least value of b is (Notation have their usual meaning)

In triangle ABC if A:B:C=1:2:4," then " (a^(2)-b^(2))(b^(2)-c^(2))(c^(2)-a^(2))=lambda a^(2)b^(2)c^(2) , where lambda= (where notations have their usual meaning)

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

In Delta ABC , if : a = 5, b = 4, A = pi/2 + B , then : /_C =

VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. If the first and (2n-1)^(th) terms of an A.P, a G.P and an H.P of posi...

    Text Solution

    |

  2. If a, b, c are distinct positive real numbers such that the quadratic ...

    Text Solution

    |

  3. If a,b,c are in H.P, where a gt c gt 0, then :

    Text Solution

    |

  4. In an A.P. let T(r) denote r ^(th) term from beginning, T(p) - (1)/(q ...

    Text Solution

    |

  5. Which of the following statement (s) is (are) correct ?

    Text Solution

    |

  6. If a,b,c are in 3 distinct numbers in H.P. a,b,c gt 0, then :

    Text Solution

    |

  7. All roots of equation x ^(5) -40 x ^(4) + alphax ^(3) + beta x ^(2) + ...

    Text Solution

    |

  8. Let a (1), a(2), a(3)……. be a sequence of non-zero rela numbers with a...

    Text Solution

    |

  9. Given a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P. if a =...

    Text Solution

    |

  10. The number a, b, c in that order form a term A.P and a + b + c = 60. T...

    Text Solution

    |

  11. If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) +...

    Text Solution

    |

  12. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |

  13. Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an ari...

    Text Solution

    |

  14. If the number 16, 20, 16, d form a A.G.P. then d can be equal to :

    Text Solution

    |

  15. Given then which of the following true

    Text Solution

    |

  16. If S(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0 then which...

    Text Solution

    |

  17. Consider the A.P. 50,48,46,44 ……. If S (n) denotes the sum to n terms ...

    Text Solution

    |

  18. Let S(n)be the sum to n terms of the series (2)/(1 ^(2)) + (5)/(1 ^(2)...

    Text Solution

    |

  19. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |