Home
Class 11
MATHS
In a triangle ABC, sin^(2)A + sin^(2)B +...

In a triangle ABC, `sin^(2)A + sin^(2)B + sin^(2)C = 2`, then the triangle is

A

equilateral triangle

B

isosceles triangle

C

right triangle

D

scalene triangle

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.11|2 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2) , then the 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 any triangle ABC ,c^2 sin 2 B + b^2 sin 2 C is equal to

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

In a triangle ABC, if sin A sin(B-C)=sinC sin(A-B) , then prove that cos 2A,cos2B and cos 2C are in AP.

In a triangle ABC , (c^2 +a^2 -b^2)/(2ca) is:

In a triangle ABC, prove that b^(2) sin 2C+c^(2) sin 2B=2bc sin A .

In a Delta ABC, if cos C = (sin A)/(2 sin B) , show that the triangle is isosceles.

If A, B, C are the angles of a triangle such that sin^(2)A+sin^(2)B=sin^(2)C , then

FULL MARKS-TRIGONOMETRY-Exercise 3.12
  1. (1)/(cos 80^(@)) - (sqrt(3))/(sin 80^(@)) =

    Text Solution

    |

  2. If cos 28^(@) + sin 28^(@) = k^(3), then cos 17^(@) is equal to

    Text Solution

    |

  3. The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos""...

    Text Solution

    |

  4. (1 + cos"" (pi)/(8))(1 + cos"" (3pi)/(8)) (1 + cos"" (5pi)/(8))(1 + co...

    Text Solution

    |

  5. If pi lt 2 theta lt (3pi)/(2), then sqrt(2 + sqrt( 2 + 2 cos 4 theta))...

    Text Solution

    |

  6. If tan 40^(@) = lambda, then (tan 140^(@) - tan 130^(@))/(1 + tan 140^...

    Text Solution

    |

  7. cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

    Text Solution

    |

  8. Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge1. ...

    Text Solution

    |

  9. Which of the following is not true?

    Text Solution

    |

  10. cos 2theta cos 2phi + sin^(2) (theta - phi ) - sin^(2) ( theta + phi) ...

    Text Solution

    |

  11. (sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A...

    Text Solution

    |

  12. If cos ptheta + cos qtheta = 0 and if p ne q, then theta is equal to (...

    Text Solution

    |

  13. If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (s...

    Text Solution

    |

  14. In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2, then the triang...

    Text Solution

    |

  15. If f(theta) = |sin theta| + |cos theta|,theta in RR, then f(theta) is ...

    Text Solution

    |

  16. (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x + 10 cos x ) i...

    Text Solution

    |

  17. The triangle of maximum area with constant perimeter 12m

    Text Solution

    |

  18. A wheel is spinning at 2 radians/second. How many seconds will it take...

    Text Solution

    |

  19. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  20. In a DeltaABC, if (i)sin (A)/(2) sin"" (B)/(2) sin"" (C )/(2) gt 0 (...

    Text Solution

    |