Home
Class 12
MATHS
In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+...

In triangle, `A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4,` then angle B is equal to `45^0` (b) `135^0` `120^0` (d) `60^0`

A

`45^(@)`

B

`135^(@)`

C

`120^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|18 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|61 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In triangle, A B Cif2a^2b^2+2b^2c^2=a^4+b^4+c^4, then angle B is equal to 45^0 (b) 135^0 120^0 (d) 60^0

In triangle, ABC if 2a^(2) b^(2) + 2b^(2) c^(2) = a^(4) + b^(4) + c^(4) , then angle B is equal to

In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equal to (a) 45^0 (b) 60^0 (c) 90^0 (d) 120^0

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

If in a /_\ABC, a^2cos^2A=b^2+c^2, then angle A is (A) less than 45^0 (B) more than 45^0 and less than 90^0 (C) right angled (D) obtuse angle

Side B C of a triangle A B C has been produced to a point D such that ∠ACD = 120^0dot If /_B=1/2/_A , then /_A is equal to 80^0 (b) 75^0 (c) 60^0 (d) 90^0

In a triangle A B C ,a=4,b=3,/_A=60^0 then c is root of the equation c^2-3c-7=0 (b) c^2+3c+7=0 (c) c^2-3c+7=0 (d) c^2+3c-7=0

The angles of a triangle are in the ratio 1:2:3. The measure of the largest angle is: (a) 30^0 (b) 60^0 (c) 90^0 (d) 120^0

In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a. a+b b. (c^2)/(a b) c. (a^2)/(b c) d. (b^2)/(a c)

If an a triangle A B C ,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(b c)+b/(a c), find the /_A= (a) 90^0 (b) 60^0 (c) 30^0 (d) none of these

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. In Delta ABC, If a =4, b=3 and COS(A-B) =3/4, then

    Text Solution

    |

  2. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

    Text Solution

    |

  3. In which of the following situations, it is possible to have a DeltaAB...

    Text Solution

    |

  4. In a triangle ABC, let BC = 1, AC=2 and measure of / C is 30^@. Which ...

    Text Solution

    |

  5. Let one angle of a triangle be 60°, the area of triangle is 10sqrt3and...

    Text Solution

    |

  6. In a triangle ABC, if a=4,b=8,/C=60^@, then which of the following rel...

    Text Solution

    |

  7. Given an isoceles triangle with equal side of length b and angle alpha...

    Text Solution

    |

  8. There can exist a triangle ABC satisfying the conditions :

    Text Solution

    |

  9. Let a,b,c be the sides of triangle whose perimeter is P and area is A,...

    Text Solution

    |

  10. If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, ...

    Text Solution

    |

  11. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  12. If A,A1,A2 and A3 are the areas of the inscribed and escribed circles ...

    Text Solution

    |

  13. If a, b, A be given in a triangle and c1 and c2 be two possible value ...

    Text Solution

    |

  14. D,E and F are the middle points of the sides of the triangle ABC, then

    Text Solution

    |

  15. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a...

    Text Solution

    |

  16. If Delta represents the area of acute angled triangle ABC, then sqrt(a...

    Text Solution

    |

  17. In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4, then angle B is equal...

    Text Solution

    |

  18. If H is the orthocentre of triangle ABC, R = circumradius and P = AH +...

    Text Solution

    |

  19. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

    Text Solution

    |

  20. If in triangle ABC, a, c and angle A are given and c sin A lt a lt c, ...

    Text Solution

    |