Home
Class 12
MATHS
If A,B,C are the angles of a non right a...

If A,B,C are the angles of a non right angled triangle ABC. Then find the value of: `|[tanA,1,1],[1,tanB,1],[1,1,tanC]|`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

In an acute angled triangle ABC , the minimum value of tanA tanB tanC is

In an acute-angled triangle ABC, tanA+tanB+tanC

A triangle ABC is right angled at B, find the value of (secA.sinC-tanA-tanC)/(sinB)

Let triangle ABC be right angled at C.If tanA+tanB=2 , then-

If A,B,C are the angles of triangle ABC, then the minimum value of |{:(-1,cos C , cos B),(cos C , -1, cos A ) , (cos B , cos A , -1):}| is equal to :

Prove that the points A(1, -3), B (-3, 0) and C(4, 1) are the vertices of an isosceles right- angled triangle. Find the area of the triangle.

Statement-1: If A, B, C are the angles of a triangle such that angle A is obtuse, then tan C gt1. Statement-2: In any DeltaABClt we have tanA=(tanB+tanC)/(tanBtanC-1)

In a right triangle A B C , right angled at C , if tanA=1 , then verify that 2sinAcosA=1 .

If tanA=m/(m-1) and tanB=1/(2m-1) , find the value of tan(A-B) .

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e...

    Text Solution

    |

  2. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

    Text Solution

    |

  3. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

    Text Solution

    |

  4. Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...

    Text Solution

    |

  5. Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...

    Text Solution

    |

  6. Roots of the equation |x m n1a x n1a b x1a b c1|=0 are independent o...

    Text Solution

    |

  7. Prove that the value of each the following determinants is zero: |[a...

    Text Solution

    |

  8. If a ,b ,c are different, then the value of |[0,x^2-a, x^3-b],[ x^2+a,...

    Text Solution

    |

  9. Prove that the value of each the following determinants is zero: |...

    Text Solution

    |

  10. If |b+c c+a a+b a+b b+c c+a c+a a+b b+c|=k|ab c c a b b c a| , then va...

    Text Solution

    |

  11. A triangle has vertices Ai(xi , yi)fori=1,2,3 If the orthocentre of tr...

    Text Solution

    |

  12. If alpha,beta,gamma are the roots of a x^3+b x^2+cx+d=0 and |[alpha,b...

    Text Solution

    |

  13. If Delta=|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| and Delta1=|(a1+pb1,b1+q...

    Text Solution

    |

  14. Prove that the value of each the following determinants is zero: |[(a^...

    Text Solution

    |

  15. The value of the determinant [(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2...

    Text Solution

    |

  16. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

    Text Solution

    |

  17. Prove that the value of each the following determinants is zero: |[l...

    Text Solution

    |

  18. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  19. Show that |[1,1+p,1+p+q],[2,3+2p,1+3p+2q],[3,6+3p,1+6p+3q]|= 1

    Text Solution

    |

  20. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

    Text Solution

    |