Home
Class 12
MATHS
If the system of equation a^(2)x-by=a^(2...

If the system of equation `a^(2)x-by=a^(2)-b` and `bx-b^(2)y=2+4b` possess an infinite number of solution , the possible values of a and are

A

a=1,b=-1

B

a=1,b=-2

C

a=-1,b=-1

D

a=-1,b=-2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Single Option Correct Type Questions|2 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

For what value of K, the system of equation 2x+4y+16=0 and 3x+Ky+24=0 has an infinite number of solutions.

Find the value of a and b if the system of equation a^(2)x-by=a^(2)-b and bx=b^(2)y=2+4b(i) posses unique solution (ii) infinite solutions

If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3 + a possess a unique solution x = 1 , y = 1 , then

If the system of equations x+2y+3z=4,x+py+2z=3,x+4y+z=3 has an infinite number of solutions and solution triplet is

If 2a=b, the pair of equations ax+by=2a^(2)-3b^(2),x+2y=2a-6b possess

Number of values of a for which the system of equations a^(2)x+(2-a)y=4+a^(2) and ax+(2a-1)y=a^(5)-2 possess no solution,is (a)0,(b)1(c)2(d)oo

for what values of a and b,the equations 5x+8y=7 and (a+b)x+(a-b)y=(2a+b+1) have infinite number of solutions

Number of values of a for which the system of equations a^(2)+(2-a)y=4+a^(2) and ax +(2a-1)y= a^(5) -2 possess no solution is

ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the system of equation a^(2)x-by=a^(2)-b and bx-b^(2)y=2+4b possess...

    Text Solution

    |

  2. If a^(2)+b^(2)+c^(2)=-2 and f(x)= |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x...

    Text Solution

    |

  3. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 ...

    Text Solution

    |

  4. If a1,a2,a3,.....an.... are in G.P. then the determinant Delta=|[logan...

    Text Solution

    |

  5. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

    Text Solution

    |

  6. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

  7. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

    Text Solution

    |

  8. Let a,b,c be such that b(a+c)ne 0. If |{:(,a,a+1,a-1),(,-b,b+1,b-1),(,...

    Text Solution

    |

  9. If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...

    Text Solution

    |

  10. The number of values of k which the linear equations 4x+ky+2z=0 kx...

    Text Solution

    |

  11. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  12. The number of values of k, for which the system of equations (k""+"...

    Text Solution

    |

  13. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  14. The set of the all values of lamda for which the system of linear equa...

    Text Solution

    |

  15. Which of the following values of alpha satisfying the equation |(1+alp...

    Text Solution

    |

  16. The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-l...

    Text Solution

    |

  17. The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,...

    Text Solution

    |

  18. Let a,lambda,mu in R, Consider the system of linear equations ax+2y=la...

    Text Solution

    |

  19. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |