Home
Class 12
MATHS
If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|...

If `|(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|`, then write the value of x .

Text Solution

Verified by Experts

Given, `|(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|`
Compute the determinants
`(x+1)(x+2)−(x−3)`
`(x−1)=4×3−1×−1 `
⇒`x^2+2x+x+2−(x^2−x−3x+3)=12+1`
⇒`x^2+3x+2−x^2+4x−3=13`
...
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

if |(x+1,x-1),(x-3,x+2)|= |(4,-1),(1,3)|. find the value of x.

If |{:(x+1, x-1), (x-3, x+2):}| = |{:(4, -1), (1, 3):}| , find the value of x.

If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x):}| =3 then the value of |{:(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0):}| is

If |{:( 2x, x + 3),(2 (x +1), x +1):}| = |{:(3,3),( 1, 5):}|, then the value of x is :

If (x^3+1/x^3)=2 then the value of (x+1/x) is

If |{:(4,1),(2,1):}|^(2)=|{:(3,2),(1,x):}|-|{:(x,3),(-2,1):}| , then the value of x is :

If x_(1)x_(1)x_(3)=4(4+x_(1)+x_(2)+x_(3)) then what is the value of [(1)/(2+x_(1))]+[(1)/(2+x_(2))]+[(1)/(2+x_(3))]?

If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. Evaluate: |cos15osin15osin75ocos75o| .

    Text Solution

    |

  2. If A=[[5 ,3 ,8 ],[2 ,0 ,1 ],[1, 2, 3]] . Write the cofactor of the e...

    Text Solution

    |

  3. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

    Text Solution

    |

  4. If |[2x,x+3 ],[2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

    Text Solution

    |

  5. If |[3x,7],[-2,4]|=|[8,7],[6,4]| , find the value of xdot

    Text Solution

    |

  6. If |[2x,5] ,[8,x]|=|[6,-2], [7, 3]| , write the value of xdot

    Text Solution

    |

  7. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

    Text Solution

    |

  8. Write the value of the determinant |[p, p+1],[p-1,p]| .

    Text Solution

    |

  9. Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

    Text Solution

    |

  10. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is 1/...

    Text Solution

    |

  11. If x in N and |x+3-2-3x2x|=8, then find the value of xdot

    Text Solution

    |

  12. If |xsinthetacostheta-sintheta-x1costheta1x|=8 , write the value of xd...

    Text Solution

    |

  13. If Delta=|a(11)a(12)a(13)a(21)a(22)a(23)a(31)a(32)a(33)| and A(i j) is...

    Text Solution

    |

  14. Which of the following is not correct in a given determinant of A , wh...

    Text Solution

    |

  15. Let |x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3...

    Text Solution

    |

  16. The value of the determinant |a^2a1cosn xcos(n+a)xcos(n+2)xsinn xsin(n...

    Text Solution

    |

  17. If Dk=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum(k=1)^n Dk=56. then n eq...

    Text Solution

    |

  18. Let |[x^2+3x,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4, 3x]| =a x^4+b x^3+c x^2+...

    Text Solution

    |

  19. Using the factor theorem it is found that a+b , b+ca n dc+a are three ...

    Text Solution

    |

  20. If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c ...

    Text Solution

    |