Home
Class 12
MATHS
Find the value of a \ a n d \ b if the ...

Find the value of `a \ a n d \ b` if the system of equation `a^2x-b y=a^2-b \ a n d \ b x-b^2y=2+4b` (i) posses unique solution (ii) infinite solutions

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If x and y are complex numbers, then the system of equations (1+i)x+(1-i)y=1,2i x+2y=1+i has (a) Unique solution (b) No solution (c) Infinite number of solutions (d) None of these

Find the values of a and b if the simultaneous linear equation ax-15y+10=0 and 2x+6y=b will have infinitely many solutions.

Find the values of a and b for which the equations 5x+8y=7 and (a+b)x+(a-b)y=(2a+b+1) will have infinitely many sets of solution.

The two equations a_1x+b_1y=k_1 and a_2x+b_2y=k_2 will have unique solutions for x and y when

If (a+b)+i(a-b)=2-3i find a\ a n d\ bdot

If the system of equation {:(,x-2y+z=a),(2x+y-2z=b),and,(x+3y-3z=c):} have at least one solution, then the relationalship between a,b,c is

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of a is, a. -3 b. -1 c. 0 d. 3

Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equation x/a+y/b=2 .

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Solve for x by Cramers rule x+y+z=6, x-y+z=2 3x+2y-4z=-5

    Text Solution

    |

  2. The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...

    Text Solution

    |

  3. Find the value of a \ a n d \ b if the system of equation a^2x-b y=a...

    Text Solution

    |

  4. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

    Text Solution

    |

  5. f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]| . Then value of lim(x->0)(...

    Text Solution

    |

  6. If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c...

    Text Solution

    |

  7. Let alpha be a repeated root of a quadratic equation f(x)=0 and A(x...

    Text Solution

    |

  8. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

    Text Solution

    |

  9. Value of |{:(1+x(1),,1+x(1)x,,1+x(1)x^(2)),(1+x(2),,1+x(2)x,,1+x(2)x^(...

    Text Solution

    |

  10. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

    Text Solution

    |

  11. The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b...

    Text Solution

    |

  12. Prove that the value of each the following determinants is zero: |a...

    Text Solution

    |

  13. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

    Text Solution

    |

  14. Text Solution

    |

  15. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

    Text Solution

    |

  16. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

    Text Solution

    |

  17. If the determinant |[b-c,c-a, a-b],[b^(prime)-c ', c^(prime)-a ', a^(p...

    Text Solution

    |

  18. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |

  19. By using properties of determinats. Prove that- |(sintheta,costheta,...

    Text Solution

    |

  20. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

    Text Solution

    |