Home
Class 12
MATHS
If |x-2-3 3x2x|=3 , find the values of x...

If `|x-2-3 3x2x|=3` , find the values of `xdot`

Text Solution

Verified by Experts

`|(x-2,-3),( 3x,2x)|=3`
`implies(2x)(x−2)−(−3)(3x)=3`
`implies2x^2−4x+9x=3`
`implies2x^2+5x−3=0`
`implies2x^2+6x−x−3=0`
`implies(x+3)(2x−1)`
`x=−3, 1/2`​
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 |3x7-2 4|=|8 7 6 4| , find the value of xdot

If x^2 - 1 = 3 , find the value of x

If x=-3 find the value of 4x^2-5x+3

If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of x

If 3^(x + 2 ) = 9 , find the value of x

If |2x5 8x|=|6-2 7 3| , write the value of xdot

2^( x + 4 ) - 2^( x + 2 ) = 3 , find the value of x

If x=3 and y=4 , find the value of 3x+2y

If   ( x + 2 )/( x - 2 ) = 2/3 , then find the value of x

If x =(3/2)^2x\ (2/3)^(-4), find the value of x^(-2)dot

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

    Text Solution

    |

  2. If A=[1 2 4 2] , then show that |2A|=4|A| .

    Text Solution

    |

  3. If |x-2-3 3x2x|=3 , find the values of xdot

    Text Solution

    |

  4. Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...

    Text Solution

    |

  5. Evaluate the determinant =|(log)3 512(log)4 3(log)3 8(log)4 9| .

    Text Solution

    |

  6. Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...

    Text Solution

    |

  7. Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...

    Text Solution

    |

  8. If [ ] denotes the greatest integer less than or equal to the real nu...

    Text Solution

    |

  9. Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),...

    Text Solution

    |

  10. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  11. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  12. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |

  13. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |

  14. Evaluate: |2 3 7 13 17 5 15 20 12|^2 .

    Text Solution

    |

  15. Show that |sin10o-cos10osin80ocos80o|=1

    Text Solution

    |

  16. Evaluate |2 3-5 7 1-2-3 4 1| by two methods.

    Text Solution

    |

  17. Evaluate: =|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

    Text Solution

    |

  18. Evaluate: =|cosalphacosbetacosalphasinbeta-sinalpha-sinbetacosbeta0sin...

    Text Solution

    |

  19. If A=[2 5 2 1] and B=[4-3 2 5] , verify that |A B|=|A||B| .

    Text Solution

    |

  20. If A=[[1 ,0 ,1],[0 ,1, 2],[ 0, 0, 4]] , then show that |3A|" "=" "27|...

    Text Solution

    |