Home
Class 12
MATHS
Find those values of c for which the equ...

Find those values of c for which the equations: `2x+3y=3,(c+ 2)x + (c +4)y=(c+6),(c+2)^2x+(c+4)^2y=(c+6)^2` are consistent.Also solve above equations for these values of c.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

The number of value of k for which the linear equations 4x+k y+2z=0,k x+4y+z=0, 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

Find the value of a ,b,c and d from the equation : [{:(a-b,2a+c),(2a-b,3c+d):}]=[{:(-1,5),(0,13):}] .

Find the value of c for which the vectors vec(a)=(c log_(2)x)hati-6hatj+3hatk and vec(b)=(log_(2)x)hati+2hatj+(2c log_(2)x)hatk makes an obtuse angle for any (x in 0, oo) .

Find the values of a,b,c,and d from the following equation : [{:(2a+b,a-2b),(5c-d,4c+3d):}]=[{:(4,-3),(11,24):}]

The roots of the quadratic equation (a + b-2c)x^2- (2a-b-c) x + (a-2b + c) = 0 are

Solve the equation 3^(x+1)C_(2)+.^2P_(1)x=4^(x)P_(2),x in N .

If c lt 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 is consistent then the possible real values of b are

Find the order of the family of curves y=(c_1+c_2)e^x+c_3e^(x+c_4)

Find the values of a,b ,c and d, if 3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2d):}]+[{:(4,a+b),(c+d,3):}]

ALLEN -DETERMINANTS-All Questions
  1. Solve the following sets of equation using Cramers rule and remark ...

    Text Solution

    |

  2. Solve the following sets of equation using Cramers rule and remark ...

    Text Solution

    |

  3. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

    Text Solution

    |

  4. Let alpha1,alpha2a n d\ beta1,beta2 be the roots of a x^2+c=0\ a...

    Text Solution

    |

  5. Prove that: {:|(1,a, a^2-bc), (1,b,b^2-ca),(1,c,c^2-ab)|:}=0

    Text Solution

    |

  6. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

    Text Solution

    |

  7. Prove that: {:|(1,a, a^2-bc), (1,b,b^2-ca),(1,c,c^2-ab)|:}=0

    Text Solution

    |

  8. If u=a x^2+2b x y+c y^2,\ y^(prime)=a^('2)+2b^(prime)x y+c^(prime)y^2,...

    Text Solution

    |

  9. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

    Text Solution

    |

  10. If x,y and y are not all zero and if ax+by+cz=0,bx+cy+az=0 and cx...

    Text Solution

    |

  11. Prove that the system of equations in x\ a n d\ y ; a x(h y)+g=0,\ h x...

    Text Solution

    |

  12. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  13. The system of equations ax+y+z=a-1,x+ay+z=a-1andx+y+az=a-1 does not h...

    Text Solution

    |

  14. If D=|[1, 1, 1], [1, 1+x, 1], [1, 1, 1+y]| for x!=0, y!=0 then D is (1...

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

  17. Consider the system of linear equations; x1 +2x2+x3=3 2x1+3x2+x3=3 3x1...

    Text Solution

    |

  18. The number of value of k for which the linear equations 4x+k y+2z=0,k ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |