Home
Class 12
MATHS
For what value of p, is the system of eq...

For what value of `p`, is the system of equation `p^3x+(p+1)^3y=(p+2)^3 `and `px+(p+1)y=(p+2)` and `x+y=1` inconsistent

A

p = 0

B

p = 1

C

p = -1

D

For all p `gt` 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -1 CONCEPT BUILDER|65 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

For what value of p, is the system of equation p^(3)x+(p+1)^(3)y=(p+2)^(3) and px+(p+1)y=(p+2) and x+y=1 inconsistent

For what value of p the pair of linear equations (p + 2)x – (2p + 1)y = 3(2p – 1) and 2x – 3y = 7 has a unique solution.

If the system of equations x+2y-3z=1,(P+2)z=3,(2P+1)y+z=2 is inconsistent then the value of P is

The value of p for the following pair of linear equations ( p - 3)x + 3y = p , px + py =12 have infinitely many solutions is ………

Solve the following system of equations.(x)/(p)+(y)/(q)=1p(x-p)-q(y+q)=2p^(2)+q^(2)

Solve the following system of equations.(x)/(p)+(y)/(q)=1p(x-p)-q(y+q)=2p^(2)+q^(2)

For what values of p , the equations : x+y+z=1 , x+2y+4z=p , x+4y+10z=p^2 have a solution ? Solve them completely in each case.

DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
  1. If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...

    Text Solution

    |

  2. The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2)...

    Text Solution

    |

  3. The value of the determinant |{:(1 ,(5^(2x)-5^(-2x))^(2),(5^(2x)-5^(-2...

    Text Solution

    |

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

    Text Solution

    |

  5. If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...

    Text Solution

    |

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

    Text Solution

    |

  7. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

    Text Solution

    |

  8. the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...

    Text Solution

    |

  9. f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...

    Text Solution

    |

  10. If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then

    Text Solution

    |

  11. If the system of linear equations x1 + 2x2 + 3x3 = 6, x1 + 3x2 + 5x3 =...

    Text Solution

    |

  12. If a ,b ,c are in G.P. with common ratio r1a n dalpha,beta,gamma are i...

    Text Solution

    |

  13. Let A=[a(ij)](3xx3) be such that a(ij)=[{:(3, " when",hati=hatj),(0,,h...

    Text Solution

    |

  14. Let lambda "and" alpha be real. Let S denote the set of all values of ...

    Text Solution

    |

  15. Prove that the value of each the following determinants is zero: |s...

    Text Solution

    |

  16. For what value of p, is the system of equation p^3x+(p+1)^3y=(p+2)^3 a...

    Text Solution

    |

  17. If the sides of a DeltaABC and a, b, c and |{:(a^(2),b^(2),c^(2)),((a+...

    Text Solution

    |

  18. Supposealpha ,beta , gamma in R are such that sin alpha, sin beta , s...

    Text Solution

    |

  19. If Delta(x)=|[sin2x, e^x sinx+x cosx, sinx+x^2 cosx] , [cosx+sinx, e^x...

    Text Solution

    |

  20. Given that matrix A[(x,3,2),(1,y,4),(2,2,z)]. If xyz=60 and 8x+4y+3z=2...

    Text Solution

    |