Home
Class 11
MATHS
In triangle ABC if sin^2B+sin^2C=sin^2A ...

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

A

a)`angle A=pi/2`

B

b)`angleB=pi/2`

C

c)`angleC=pi/2`

D

d)`angleA=pi/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION AND INVERSE

    PATHFINDER|Exercise QUESTION BANK|195 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    PATHFINDER|Exercise QUESTION BANK|241 Videos

Similar Questions

Explore conceptually related problems

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

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

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+ cos A cos B=1 , then show that a:b:c=1:1: sqrt(2) .

In triangle ABC, sinA sin B + sin B sin C + sin C sin A = 9//4 and a = 2 , then the value of sqrt3 Delta , where Delta is the area of triangle, is _______

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)(sinA+sinB-sin C)=3sinAsinB then angle C is equal to

In a triangle ABC, (sin A+ sin B+ sin C) (sin A+sin B-sinC)= 3 sin A sin B, then which one of the following is correct ?

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

PATHFINDER-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. The length of three sides of a triangle be 1cm,2cm and 3 cm then the v...

    Text Solution

    |

  2. In an isosceles triangle ABC ,angleA =120^@ ,a:b=

    Text Solution

    |

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

    Text Solution

    |

  4. If the ratio of the angles of a triangle be 1:2:3 and the circumradius...

    Text Solution

    |

  5. If in triangleABC ,a=5cm b=5sqrt3 and angleC=30^@ then c=

    Text Solution

    |

  6. If in triangle ABC ,angleC=90^@ then tanA+tan B=

    Text Solution

    |

  7. If in triangleABC a=3cm, b=5cm and c=7cm then the triangle is

    Text Solution

    |

  8. If the ratio of the length of the sides of a triangle be 1:sqrt3:2 the...

    Text Solution

    |

  9. In triangleABC if C=pi/2 then the greatest value of sinAsinB is

    Text Solution

    |

  10. If in a triangle ABC ,(a-b+c)/a=b/(b+c-a) then angleC=

    Text Solution

    |

  11. In triangleABC if c^2=a^2+b^2 then 4s(s-a)(s-b)(s-c)=

    Text Solution

    |

  12. If in triangleABC a=3cm,b=5cm and angle C=120^@ then c=

    Text Solution

    |

  13. If 2cosA=sinB/sinC then show that the triangle is an isosceles triangl...

    Text Solution

    |

  14. If (sinA)/3=(sin B)/3=(sin C)/4 then prove that cosC=1/9

    Text Solution

    |

  15. The lengths of sides of triangle ABC are a units, b units and sqrt(a^2...

    Text Solution

    |

  16. For any triangleABC show that c^2(sin^2B-sin^2A)+b^2(sin^2A-sin^2C)+a^...

    Text Solution

    |

  17. Prove that for a triangle ABC, (a^2-b^2-c^2) tan A+(a^2-b^2+c^2)tan B=...

    Text Solution

    |

  18. In any triangle ABC prove that sin2A+sin2B+sin2C=(abc)/(2R^3)

    Text Solution

    |

  19. If (a+b+c)(b+c-a)=3bc then show that angleA=pi/3

    Text Solution

    |

  20. If the angles of the triangle ABC are in A.P. and b:c=sqrt3:sqrt2 then...

    Text Solution

    |