Home
Class 14
MATHS
If in a triangle ABC, |{:(1, sin A ,sin^...

If in a triangle ABC, `|{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1, sin C, sin^(2)C):}|= 0` then the triangle is

A

The triangle ABC is isosceles

B

The triangle ABC is equilateral

C

The triangle ABC is scalene

D

No conclusion can be drawn with regard to the nature of the triangle

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |55 Videos
  • DEFINITE INTEGRATION

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS |65 Videos
  • DIFFERENTIAL EQUATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |84 Videos

Similar Questions

Explore conceptually related problems

If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1 + sin B,1 + sin C),(sin A + sin^(2) A,sin B + sin^(2)B,sin C + sin^(2) C)|= 0 , then the triangle ABC is

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

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

"In triangle ABC " "c(sin^(2)A+sin^(2)B)=sin C(a sin A+b sin B)

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

In a /_ABC, if |[1,1,1,1][1+sin A,1+sin B,1+sin Csin A+sin^(2)A,sin B+sin^(2)B,sin C+sin^(2)C]|= ,then prove that /_ABC is an isosceles triangle.

If in a Delta ABC, cos B = (sin A)/(2 sin C), then the triangle is

PUNEET DOGRA-DETERMINANTS -PREV YEAR QUESTIONS
  1. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  2. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  3. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

    Text Solution

    |

  4. Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] ...

    Text Solution

    |

  5. If u, v and w (all positive) are the pth, qth, and rth terms of a GP, ...

    Text Solution

    |

  6. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  7. Which one of the following factors does the expansions of the determin...

    Text Solution

    |

  8. The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y ...

    Text Solution

    |

  9. The value of the determinants |("cos"^(2)(theta)/(2),"sin"^(2)(theta)/...

    Text Solution

    |

  10. The system of equation kx + y + z = 1, x + ky + z = k and x + y + kz =...

    Text Solution

    |

  11. If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,...

    Text Solution

    |

  12. The value of the determinant : |(1-alpha,alpha-alpha^(2),alpha^(2)),(1...

    Text Solution

    |

  13. If B is a non-singular matrix and A is a square matrix, then the value...

    Text Solution

    |

  14. What is the value of the determinant ? |(1,1,1),(1,1+xyz,1),(1,1,1+x...

    Text Solution

    |

  15. If |(x,y,0),(0,x,y),(y,0,x)| = 0, then which one of the following is c...

    Text Solution

    |

  16. If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,...

    Text Solution

    |

  17. If a ne b ne c, then one value of x which satisfies the equation. [(0,...

    Text Solution

    |

  18. Let ax^(3) + bx^(2) + cx + d |(x+1,2x,3x),(2x+3,x+1,x),(2-x,3x+4,5x-...

    Text Solution

    |

  19. Let ax^(3) + bx^(2) + cx + d |(x+1,2x,3x),(2x+3,x+1,x),(2-x,3x+4,5x-...

    Text Solution

    |

  20. If A is a square matrix of order 3 and det A = 5, then what is det [(2...

    Text Solution

    |