Home
Class 11
MATHS
If Delta(1)=|{:(a(1)^(2)+b(1)+c(1),a(1)a...

If `Delta_(1)=|{:(a_(1)^(2)+b_(1)+c_(1),a_(1)a_(2)|b_(2)|c_(2),a_(1)a_(3)+b_(3)+c_(3)),(b_(1)b_(2)+c_(1),b_(2)^(2)+c_(2),b_(2)b_(3)+c_(3)),(c_(1)c_(3),c_(2)c_(3),c_(3)^(2)):}|" and " Delta_(2)=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|`, then find the value of `(Delta_(1))/(Delta_(2))`.

Text Solution

Verified by Experts

The correct Answer is:
`a_(1)b_(2)c_(3)`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -3( e)|15 Videos
  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -3( f)|12 Videos
  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -3( c)|10 Videos
  • MATHEMATICAL INDUCTION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 2 (a)|15 Videos
  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) III. |3 Videos

Similar Questions

Explore conceptually related problems

|(1,1,1),(a^(2),b^(2),c^(2)),(a^(3),b^(3),c^(3))|=

IF Delta_1=|{:(a_1^2+b_1+c_1,a_1a_2+b_2+c_2,a_1a_3+b_3+c_3),(b_1b_2+c_1,b_2^2+c_2,b_2b_3+c_1),(c_3c_1,c_3c_2,c_3^2):}|,Delta_2|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}| then find the value of (Delta_1)/(Delta_2)

|(a,b,c),(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2))|=k|(b+c,c+a,a+b),(b_(1)+c_(1),c_(1)+a_(1),a_(1)+b_(1)),(b_(2)+c_(2),c_(2)+a_(2),a_(2)+b_(2))| then k=

If Delta=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}| then |{:(A_(1),A_(2),A_(3)),(B_(1),B_(2),B_(3)),(C_(1),C_(2),C_(3)):}|=(A_(1),A_(2),A_(3) . . . . . " are cofactors of "a_(1),a_(2),a_(3) . . . . . )

If |(1+a_(1),a_(2),a_(3)),(a_(1),1+a_(2),a_(3)),(a_(1),a_(2),1+a_(3))|=0 then a_(1)+a_(2)+a_(3)=

If |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=|(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1)| , then the two triangles with vertices (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) and (a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3)) must be

If (a_(1), b_(1), c_(1)), (a_(2), b_(2), c_(2)) are d.r.'s of two perpendicular lines then

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -TEXTUAL EXERCISES (EXERCISE -3( d)
  1. |(a,b,c),(b,c,a),(c,a,b)|=

    Text Solution

    |

  2. Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...

    Text Solution

    |

  3. IF A=[{:(1,0,0),(2,3,4),(5,-6,x):}] and det A=45 then find x.

    Text Solution

    |

  4. Show that |{:(bc,b+c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)

    Text Solution

    |

  5. |(b+c, c+a, a+b),(a+b, b+c, c+a),(a, b,c)]=a^(3)+b^(3)+c^(3)-3abcఅని చ...

    Text Solution

    |

  6. Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

    Text Solution

    |

  7. |(a, a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0, |(a, a^(2)...

    Text Solution

    |

  8. Without expanding the determinant, prove that: (i) |{:(alpha, alpha^...

    Text Solution

    |

  9. Without expanding the determinant, prove that: |{:(alpha xi, beta psi...

    Text Solution

    |

  10. Without expanding the determinant, prove that: |{:(1, beta gamma, be...

    Text Solution

    |

  11. If Delta(1)=|{:(a(1)^(2)+b(1)+c(1),a(1)a(2)|b(2)|c(2),a(1)a(3)+b(3)+c(...

    Text Solution

    |

  12. Delta1=|(1,cos alpha, cos beta),(cos alpha , 1, cos gamma),(cos beta, ...

    Text Solution

    |

  13. Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

    Text Solution

    |

  14. Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...

    Text Solution

    |

  15. Show that |{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}|=(a-1)^3

    Text Solution

    |

  16. Show that |{:(a,b,c),(a^(2),b^(2),c^(2)),(a^(2),b^(3),c^(3)):}|=abc(a-...

    Text Solution

    |

  17. Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...

    Text Solution

    |

  18. Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0

    Text Solution

    |

  19. Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0

    Text Solution

    |

  20. Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2

    Text Solution

    |