Home
Class 12
MATHS
If A,B and C are angles of a triangle th...

If `A,B` and `C` are angles of a triangle then the determinant
`|(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)|` is equal to

A

`sin^(2)A`

B

`sin^(2)B`

C

`sin^(2)C`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

If A + B + C = 0, then prove that Det [[1, cosC, cosB], [cosC, 1, cosA], [cosB, cosA, 1]] = 0

Show that DeltaABC is an isosceles triangle, if the determinant Delta=|(1,1,1),(1+cosA,1+cosB,1+cosC),(cos^(2)A+cosA,cos^(2)B+cosB,cos^(2)C+cosC)|=0 .

MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If a!=p,b!=q,c!=r and the system of equations px+by+cz=0 ax+qy+cz=...

    Text Solution

    |

  2. For a fixed positive integer n if D= |(n!, (n+1)!, (n+2)!),((n+1)!, (n...

    Text Solution

    |

  3. If a, b, c are in A.P., and Delta=|[x+2,x+7,a],[x+5,x+11,b],[x+8,x+15,...

    Text Solution

    |

  4. If Delta=|(1+y,1-y,1-y),(1-y,1+y,1-y),(1-y,1-y,1+y)|=0, then value of ...

    Text Solution

    |

  5. The determinant Delta=|(al+a'l',am+a'm',an+a'n'),(bl+b'l',bm+b'm',bn...

    Text Solution

    |

  6. If a =i, b = omega and C= omega^2, then the value of determinant |(a...

    Text Solution

    |

  7. If Delta=|(1,1,1),(""^(m)C(1),""^(m+3)C(1),""^(m+6)C(1)),(""^(m)C(2),"...

    Text Solution

    |

  8. Suppose a,b,c,x,y epsilon R. Let Delta=|(1,2+ax,3+ay),(1,2+bx,3+by),...

    Text Solution

    |

  9. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

    Text Solution

    |

  10. Let f(x)=|(cosx,x,1),(2sinx,x^(2),2x),(tan x,x,1)| then lim(xto0)(f(x)...

    Text Solution

    |

  11. If omega is a complex cube root of unity, then value of Delta=|(a(1)+...

    Text Solution

    |

  12. If p q r!=0 and the system of equation (p+a)x+b y-c z=0 a x+(q+b)y+c ...

    Text Solution

    |

  13. The system of equations ax+by+(a alpha+ b)z=0 bx+cy+(b alpha+c)z=0...

    Text Solution

    |

  14. If the system of equations ax+ay-z=0 bx-y+bz=0 -x+cy+cz=0 (whe...

    Text Solution

    |

  15. The values of lamda for which the system of equations (lamda+5)x+(la...

    Text Solution

    |

  16. If a+b+c!=0, the system of equations (b+c)(y+z)-ax=b-c, (c+a)(z+x)-by=...

    Text Solution

    |

  17. If a,b, c in R and a + b + c =0 and th esystem of equations ax + by + ...

    Text Solution

    |

  18. If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}|, where p i...

    Text Solution

    |

  19. suppose D= |{:(a(1),,b(1),,c(1)),(a(2),,b(2),,c(2)),(a(3),,b(3),,c(3...

    Text Solution

    |

  20. Number of real values of lamda for which the system of equations (la...

    Text Solution

    |