Home
Class 12
MATHS
If A+B+C = pi, prove that [[sin^2A,cot...

If A+B+C = `pi`, prove that
`[[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,cotC,1]]`=0

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • DIFFERENTIAL EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|87 Videos

Similar Questions

Explore conceptually related problems

If A+B+C=pi , then prove the following. sin^2frac{A}{2}+sin^2frac{B}{2}+sin^2frac{C}{2} =1-2sinfrac{A}{2} cdot sin frac{B}{2} cdot sin frac{C}{2}

Prove that a sinA - b sinB = c sin(A-B)

In Delta ABC prove that sum a^3 sin(B-C)= 0

Prove that sinB/sinA=sin(2A+B)/sinA-2cos(A+B)

If A+B+C=pi , then prove the following. sin2A+sin2B-sin2C=4cosA cdot cosB cdot sinC

If A+B+C=pi , then prove the following. cos^2A+cos^2B+2cosA cdot cosB cdot cos C=sin^2 C

If sinA : sinC = sin(A-B): sin(B-C) prove that a^2,b^2,c^2 are in A.P.

If A+B+C=pi , then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{2}A cdot sin frac{1}[2}B cdot sinfrac{1}{2}C

Prove that [[1,a,a^2 - bc],[1,b,b^2 - ca],[1,c,c^2 - ab]]

In Delta ABC prove that (b^2-c^2)cotA + (c^2-a^2)cotB + (a^2-b^2)cotC = 0

MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

    Text Solution

    |

  2. Prove that the points : (x1,y1),(x2,y2),(x3,y3) are collinear if [[x...

    Text Solution

    |

  3. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  4. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  5. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

    Text Solution

    |

  6. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

    Text Solution

    |

  7. Write the number of solution of the following system of equation. x-2y...

    Text Solution

    |

  8. Write the number of solution of the following system of equation. x-y=...

    Text Solution

    |

  9. Write the number of solution of the following system of equation. 2x+y...

    Text Solution

    |

  10. Write the number of solution of the following system of equation. 3x+2...

    Text Solution

    |

  11. Write the number of solution of the following system of equation. 2x+3...

    Text Solution

    |

  12. Write the number of solution of the following system of equation. x+y+...

    Text Solution

    |

  13. Write the number of solution of the following system of equation. x+4y...

    Text Solution

    |

  14. Write the number of solution of the following system of equation.x+y-z...

    Text Solution

    |

  15. Write the number of solution of the following system of equation. a1x+...

    Text Solution

    |

  16. Show that the following system is inconsistent. (a-b)x+(b-c)y+(c-a)z...

    Text Solution

    |

  17. The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

    Text Solution

    |

  18. If the system of equations 2x+5y+8z=0 x+4y+7z=0 6x+9y-z=0 has ...

    Text Solution

    |

  19. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has...

    Text Solution

    |

  20. The equations x+y+z=6 x+2y+3z=10 x+2y+mz=n given infinite numb...

    Text Solution

    |