Home
Class 12
MATHS
If : cos^(2) A + cos^(2) B + cos^(2) C =...

If : `cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC ` is

A

isosceles

B

right angled

C

equilateral

D

obtuse-angled

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE|152 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If a triangle ABC, sin A = sin^(2) B and 2 cos^(2)A = 3 cos^(2)B , then the Delta ABC is :

If cos^(2)A+cos^(2)B+cos^(2)C=1 , then triangle ABC is

In triangle ABC, if cos^(2)A + cos^(2)B - cos^(2) C = 1 , then identify the type of the triangle

In DeltaABC, bc=2b^(2)cos A+2c^(2)cos A-4bc cos^(2)A , then Delta ABC is

In a triangle ABC,cos^(2)A+cos^(2)B+cos^(2)C=

In triangle ABC, cos^2A + cos^2B - cos^2C = 1, then the triangle is necessarily

If in a ABC,cos^(2)A+cos^(2)B+cos^(2)C=1 prove that the triangle is right angled.

Statement-1: In a triangle ABC, if sin^(2)A + sin^(2)B + sin^(2)C = 2 , then one of the angles must be 90 °. Statement-2: In any triangle ABC cos 2A + cos 2B + cos 2C = -1 - 4 cos A cos B cos C

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles
  1. If triangleABC is a right angled at A, then: cos^(2)B + cos^(2)C=

    Text Solution

    |

  2. If sinA + sin B + sin C = (3sqrt(3))//2 then Delta ABC is

    Text Solution

    |

  3. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

    Text Solution

    |

  4. In Delta ABC a cdot sin(B - C) + b cdot sin (C - A) + c cdot sin (A ...

    Text Solution

    |

  5. If cos A = (sin B)/(2 sin C) , then Delta ABC is

    Text Solution

    |

  6. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  7. In Delta ABC (b-c) cdot sin A + (c - a) cdot sin B + (a - b) cdot si...

    Text Solution

    |

  8. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

    Text Solution

    |

  9. If the sides of a triangle are x, y and sqrt((x^(2) + xy + y^(2))), t...

    Text Solution

    |

  10. In any DeltaABC, prove that : (a^2 sin (B-C))/(sin B + sin C) + (b^2 s...

    Text Solution

    |

  11. In any DeltaABC, prove that : (b+c) cos A + (c+a) cos B + (a+b) cos C ...

    Text Solution

    |

  12. If theta is real , then: c cdot cos(A - theta) + a cdot cos(C + theta)...

    Text Solution

    |

  13. In Delta ABC, (cot B + cot C)/(cot C + cot A) = ....

    Text Solution

    |

  14. If : 2 sin B cdot cos C = sin A, then Delta ABC is

    Text Solution

    |

  15. If A = 3B and a = 2b, then :m /B = ...

    Text Solution

    |

  16. If mangleA = 60^(@), then (a+b+c)(-a+b+c)=….

    Text Solution

    |

  17. If a ,c , b are in A.P., then : a cos B - b cos A = ........

    Text Solution

    |

  18. In Delta ABC,(cos 2A)/(a^2) - (cos2B)/(b^2) = ......

    Text Solution

    |

  19. In Delta ABC, (tan B)/(tan C) = .........

    Text Solution

    |

  20. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

    Text Solution

    |