Home
Class 14
MATHS
Let a ,b , c be the real numbers. The fo...

Let `a ,b , c` be the real numbers. The following system of equations in `x ,y ,a n dz` `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1` has a. no solution b. unique solution c. infinitely many solutions d. finitely many solutions

A

no solution

B

unique solution

C

infinetly many solutions

D

finitely many solutions

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c be the real numbers.The following system of equations in x,y, and z(x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(a^(2))=1,(x^(2))/(a^(2))-(y^(2))/(b^(2))+(z^(2))/(a^(2))=1,-(x^(2))/(a^(2))+(y^(2))/(b^(2))+(z^(2))/(a^(2))=1 has a.no solution b.unique solution c .infinitely many solutions d.finitely many solutions

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

The pair of equations x+2y+5=0 and -3x-6y+1=0 has (a) a unique solution (c) infinitely many solutions(d) no solution (b) exactly two solutions

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has (a) a unique solution (c) infinitely many solutions (b) exactly two solutions (d) no solution

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. The solution of the equations (3x-y+1)/(3)=(2x+y+2)/(5)=(3x+2y+1)/(6) ...

    Text Solution

    |

  2. The course of an enemy submarine as plotted on a set of rectangular ax...

    Text Solution

    |

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

    Text Solution

    |

  4. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  5. If a+b+c=13 What is the maximum value of (a-3)(b-2)(c+1)?

    Text Solution

    |

  6. If abcd=81, what is the minimum value of a+b+c+d?

    Text Solution

    |

  7. Which one of the following is correct?

    Text Solution

    |

  8. If a,b,c are distinct positive real numbers, then

    Text Solution

    |

  9. If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is...

    Text Solution

    |

  10. If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?

    Text Solution

    |

  11. If x gt 0, y gt 0 then minimum value of (x+y)(1/x+ 1/y) is

    Text Solution

    |

  12. If a, b, c and d are four positive numbers such that a+b+c+d=4, then w...

    Text Solution

    |

  13. If x,y and z are three distinct positive real numbers such that x+y+z=...

    Text Solution

    |

  14. If x, y, z are real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6,...

    Text Solution

    |

  15. If x=7+4sqrt3 and xy=1 then the value of (1/x^2+1/y^2) is

    Text Solution

    |

  16. If a,b and c are positive real numbers the least value of (a+b+c)(1/a+...

    Text Solution

    |

  17. If a, b are postitive real numbers such that ab=1, then the least valu...

    Text Solution

    |

  18. If a, b, c all positive and not euqal, then the value of ((a+b+c)(ab+b...

    Text Solution

    |

  19. If a,b,c are all positive then the minimum value of the expression(a^2...

    Text Solution

    |

  20. If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

    Text Solution

    |