Home
Class 11
MATHS
In Delta ABC, if sin ^(2) A+sin ^(2) B =...

In `Delta ABC,` if `sin ^(2) A+sin ^(2) B =sin ^(3)C,` then the triangle is

A

right-angled but need not be isosceles

B

right angled and isosceles

C

isosceles, but need not be right-angled

D

equilateral.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C , then the triangle is

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

If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin B. sin C, then find the valueof determinant |{:(a,b,c),(b,c,a),(c,a,b):}|.

In triangle ABC, if sin Asin B=(ab)/c^2 , then the triangle is :

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +sin ^(3) B+sin ^(3)C)=8, then the maximum value of a

In a Delta ABC, if cos A+cos B=4 sin^(2)((C)/(2)), then a,b,c are in (a) AP (b) GP (c) HP (d) None of these

In any triangle ABC : If sin 2A = sin 2B + sin 2C, prove that either B = 90^@ or C = 90^@ .

If A, B, C are interior angles of DeltaABC such that (cos A + cos B + cos C)^(2)+(sin A + sin B + sin C)^(2)=9 , then number of possible triangles is

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

    Text Solution

    |

  2. Whentheta varies over the real numbers, the maximum value of cos theta...

    Text Solution

    |

  3. In Delta ABC, if sin ^(2) A+sin ^(2) B =sin ^(3)C, then the triangle i...

    Text Solution

    |

  4. If tan theta=1/ sqrt7, then ((cosec^2 theta-sec^2 theta)/(cosec^2 thet...

    Text Solution

    |

  5. sin 47^@ + sin 61^@- sin 11^@- sin 25^@ =

    Text Solution

    |

  6. The most general of theta satisfying tantheta+tan((3pi)/(4)+theta)=2 a...

    Text Solution

    |

  7. In triangle ABC, s= (a+b+c)/2, then (b cos^2 frac (C)(2)+ c cos^2 frac...

    Text Solution

    |

  8. If sin^4 x - cos^4 x = p, then which one of the following is correct ?

    Text Solution

    |

  9. If cos theta < sin theta and theta lies in the first quadrant, then wh...

    Text Solution

    |

  10. The angle of elevation from a point on the bank of a river of the top ...

    Text Solution

    |

  11. If sin^2 x + sin^2 y = 1, then what is the value of cot (x + y) ?

    Text Solution

    |

  12. What is the value of cos 10^@ + cos 110^@+ cos 130^@ ?

    Text Solution

    |

  13. What is the value of tan (-1575^@) ?

    Text Solution

    |

  14. For which acute angle theta cosec^2 theta= 3 sqrt3 cot theta-5?

    Text Solution

    |

  15. If tan^2 theta=2 tan^2 phi+1, then which of the following is correct ?

    Text Solution

    |

  16. The value of sin 10^(@) sin 50^(@) sin 70^(@) is equal to

    Text Solution

    |

  17. The sines of two angles of a triangle are equal to 5/13 and 99/101 . W...

    Text Solution

    |

  18. After subtending an angle of 1000^@ from its initial position, the rev...

    Text Solution

    |

  19. One radian is approximately equal to which one of the following :

    Text Solution

    |

  20. If cot (x+y)= 1/sqrt3, cot (x-y)= sqrt3, then what are the smallest po...

    Text Solution

    |