Home
Class 12
MATHS
The number of values of k for which the ...

The number of values of `k` for which the system of the equations `(k+1)x+8y=4ka n dk x+(k+3)y=3k-1` has infinitely many solutions is `0` b. `1` c. `2` d. infinite

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level -II|19 Videos

  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II|12 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The number of values of k for which the system of the equations 4k and kx+(k+3)y=3k-1 has infinitely many solutions is 0 b.1 c.2 d. infinite

The number of values of k, for which the system of eauations: (k+1)x+8y=4k kx+(k+3)y=3k-1 has no solution is,

Find the value of k for which the system of equations 2x + 3y=7 and 8x + (k +4)y -28 =0 has infinitely many solution.

The number of values of k for which the system of linear equations, (k+2)x+10y=k; kx + (k+3)y=k-1 has no solution, is

The value of k, for which the pair of linear equations k x + y = k^(2) and x + k y = 1 has infinitely many solution, is :

The number of values of k for which the system of equations: kx+(3k+2)y=4k (3k-1)x+(9k+1)y=4(k+1) has no solution, are

The value of k, for which the pair of linear equations kx+y=k^(2) and x + ky = 1 has infinitely many solution, is:

Find the value of k , for which the system of equation x-ky = 2 and 3x + 6y = 6 , has infinitely many solutions .

FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. The determinant Delta=|{:(a,b,aalpha+c),(b,c,balpha+c),(aalpha+b,balph...

    Text Solution

    |

  2. If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then th...

    Text Solution

    |

  3. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  4. The determinant Delta =|(a^2(1+x),ab,ac),(ab,b^2(1+x),bc), (ac,bc,c^2(...

    Text Solution

    |

  5. If alpha , beta and gamma the roots of the equation x^2(px + q) = r(x...

    Text Solution

    |

  6. If the system of equations x+a y=0,a z+y=0 and a x+z=0 has infinite so...

    Text Solution

    |

  7. If A+B+C =pi , then the value of determinant |{:(sin^2A,cotA,1),(sin^2...

    Text Solution

    |

  8. For A=a^2+b^2+c^2,B=ab+bc+ca,(a^3,b^3c^3-3abc)^2 is equal to

    Text Solution

    |

  9. If A, B, C are angle of a triangle ABC, then the value of the determi...

    Text Solution

    |

  10. If the expression |{:(x^2+x+3,1,4),(2x^4+x^3+2x+1,2,3),(x^2+x,1,1):}| ...

    Text Solution

    |

  11. The sum of two non integral roots of |{:(x,2,5),(3,x,3),(5,4,x):}|=0 i...

    Text Solution

    |

  12. |[1,1,1] , [(2^x+2^(-x))^2, (3^x+3^(-x))^2, (5^x+5^(-x))^2] , [(2^x-2^...

    Text Solution

    |

  13. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

    Text Solution

    |

  14. If |{:(overset(n-2)underset(k=0)sum1,n(n-1),n^2),(overset(n)underset(k...

    Text Solution

    |

  15. Delta=|{:(1+a^2+a^4,1+ab+a^2b^2,1+ac+a^2c^2),(1+ab+a^2b^2,1+b^2+b^4,1+...

    Text Solution

    |

  16. If A(x1, y1), B (x2, y2) and C (x3, y3) are the vertices of a DeltaABC...

    Text Solution

    |

  17. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

    Text Solution

    |

  18. If f(x) =("In"x)/x "then" |{:("In"x,x,0),(1//x,1,x),(-1//x^2,0,2):}| i...

    Text Solution

    |

  19. Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...

    Text Solution

    |

  20. If Ir^2+mr^2+nr^2=1 where r=1,2,3 and I1I2+m1m2+n1n2=0 …..etc. then ...

    Text Solution

    |