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=4k` and `k 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

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|92 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

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,

Write the value of k for which the system of equations 3x-2y=0 and k x+5y=0 has infinitely many solutions.

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 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

Write the value of k for which the system of equations 2x-y=5,\ \ 6x+k y=15 has infinitely many solutions.

The number of values of k, for which the system of equations (k""+""1)x""+""8y""=""4k k x""+""(k""+""3)y""=""3k-1 has no solution, is (1) 1 (2) 2 (3) 3 (4) infinite

The number of values of k, for which the system of equations (k""+""1)x""+""8y""=""4k k x""+""(k""+""3)y""=""3k-1 has no solution, is (1) 1 (2) 2 (3) 3 (4) infinite

The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3)y=3k-1 are coincident is __________

The number of values of k for which the lines (k+1)x+8y=4ka n dk x+(k+3)y=3k-1 are coincident is __________

For what value of k does the system of linear equations 2x+3y=7 and (k-1)x + (k+2)y =3k have an infinite number of solutions

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  2. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

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

    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. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

  6. Let P=[(1,0,0),(3,1,0),(9,3,1)] and Q = [q(ij)] be two 3xx3 matrices s...

    Text Solution

    |

  7. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

    Text Solution

    |

  8. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  9. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

    Text Solution

    |

  10. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

    Text Solution

    |

  11. the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha...

    Text Solution

    |

  12. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

    Text Solution

    |

  13. If the adjoint of a 3 xx 3 matrix P is [{:(,1,4,4),(,2,1,7),(,1,1,3):}...

    Text Solution

    |

  14. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

    Text Solution

    |

  15. Which of the following values of alpha satisfying the equation |(1+alp...

    Text Solution

    |

  16. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

    Text Solution

    |

  17. Let alpha, lambda , mu in R.Consider the system of linear equations ...

    Text Solution

    |

  18. Which of the following is(are) NOT of the square of a 3xx3 matrix with...

    Text Solution

    |

  19. Let S be the set of all column matrices [(b(1)),(b(2)),(b(3))] such th...

    Text Solution

    |

  20. M=[{:(sin^(4)theta,-1-sin^(2)theta),(1+cos^(2)theta,cos^(4)theta):}]=a...

    Text Solution

    |