Home
Class 11
MATHS
If in a triangle ABC,sin^2A+sin^2B+sin^2...

If in a triangle ABC,`sin^2A+sin^2B+sin^2C=2` then the triangle is always

A

isosceles

B

right angled

C

acute angled

D

obtuseangled

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

In triangleABC sin^2A+sin^2B =sin^2C then angleC=

In triangle ABC if sin^2B+sin^2C=sin^2A then

If in a triangle ABC, b sin B = c sin C, then the triangle is-

If in a triangle ABC, sin A, sin B, sin C are in A.P, then

In triangle ABC, If cos B= a/(2c) , then the triangle is-

If sin^(2)B+ sin^(2)C = sin^(2)A , then the triangle ABC is-

In any triangle ABC, if sin^(2)A + sin^(2)B + sin^(2)C = 9/4 , show that the triangle is equilateral.

In any triangle A B C ,sin^2A-sin^2B+sin^2C is always equal to (A) 2sinAsinBcosC (B) 2sinAcosBsinC (C) 2sinAcosBcosC (D) 2sinAsinBsinC

In any triangle ABC, if sin A : sin B: sin C= 4:5:6, then prove that, cosA : cosB : cosC = 12:9:2

In a triangle ABC,sin A-cos B=cosC,then angle B is

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

    Text Solution

    |

  2. If sin^2theta=sinphi cosphi then the value of cos2theta is

    Text Solution

    |

  3. If in a triangle ABC,sin^2A+sin^2B+sin^2C=2 then the triangle is alway...

    Text Solution

    |

  4. If alpha and beta are solutions ofsin^2x+asinx+b=0 as well as ofcos^2x...

    Text Solution

    |

  5. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  6. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

    Text Solution

    |

  7. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

    Text Solution

    |

  8. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

    Text Solution

    |

  9. The maximum value of the expression abs(sqrt((sin^2x+2a^2))-sqrt((2a^2...

    Text Solution

    |

  10. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

    Text Solution

    |

  11. If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then...

    Text Solution

    |

  12. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

    Text Solution

    |

  13. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

    Text Solution

    |

  14. If tantheta+sectheta=e^x then costheta equals

    Text Solution

    |

  15. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

    Text Solution

    |

  16. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

    Text Solution

    |

  17. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

    Text Solution

    |

  18. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

    Text Solution

    |

  19. If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x...

    Text Solution

    |

  20. 4sin^2x +4cos^2xgek then k is

    Text Solution

    |