Home
Class 12
MATHS
Using Cramers rule, solve the following ...

Using Cramers rule, solve the following system of linear equations: `(a+b)x-(a-b)y=4a b`, `(a-b)x+(a+b)y=2(a^2-b^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of equations: x+y=a+b ,\ \ \ \ a x-b y=a^2-b^2

Solve the following system of equations in x and y (a-b)x+(a+b)y=a^2-2a b-b^2,\ \ \ \ (a+b)(x+y)=a^2+b^2

Solve the following system of linear equations by Cramers rule: x-2y=4,\ \ -3x+5y=-7

Solve the following system of linear equations by Cramers rule: 2x-y=-2,\ \ \ 3x+4y=3

Solve the following system of linear equations by Cramers rule: 2x-y=1,\ \ \ 7x-2y=-7

Solve the following system of linear equations by Cramers rule: 2x-y=17 ,\ \ \ 3x+5y=6

Solve the following system of linear equations by Cramers rule: 2x+3y=10 ,\ \ \ x+6y=4

Solve the following system of linear equations by Cramers rule: x+2y=1,\ \ \ 3x+y=4

Solve the following system of linear equations by Cramers rule: 3x+y=19 ,\ \ \ 3x-y=23

Solve the following system of equations by Cramers rule 2x-y=17 , 3x+5y=6

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. By using determinants, solve the following system of equations: x+y+z=...

    Text Solution

    |

  2. Solve the following system of equations by using determinants: x+y+z=1...

    Text Solution

    |

  3. Using Cramers rule, solve the following system of linear equations: (...

    Text Solution

    |

  4. If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x...

    Text Solution

    |

  5. The value of |1 1 1^n C1^(n+2)C1^(n+4)C1^n C2^(n+2)C2^(n+4)C2| is

    Text Solution

    |

  6. Solve the following system of homogeneous equations: x+y-z=0 x-2y+...

    Text Solution

    |

  7. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

    Text Solution

    |

  8. If x , y , z are different from zero and |[1+x,1, 1],[1 , 1+y ,1],[ 1...

    Text Solution

    |

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

    Text Solution

    |

  10. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  11. Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find possible values of x and y ar...

    Text Solution

    |

  12. If |[x-2,-3],[3x,2x]|=3 find the value of x

    Text Solution

    |

  13. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

    Text Solution

    |

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

    Text Solution

    |

  15. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods

    Text Solution

    |

  16. If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot

    Text Solution

    |

  17. Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...

    Text Solution

    |

  18. The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...

    Text Solution

    |

  19. The number of distinct real roots of |(cosecx,secx,secx),(secx, cosecx...

    Text Solution

    |

  20. Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...

    Text Solution

    |