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

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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 __________

The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=0, 2x+3y-4z=0 has a non -trivial solution is

Determine the values of k for which the simultaneous linear equations in two variables kx+2y-(k-10)=0 and 2x+ky+(k+6)=0 have infinitely many solutions.

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

Find the value of K for which the two equations x-ky=k and x+(k-2)y=2 will not be solved

The number of integral values of k for which the equation 7 cos x + 5 sin x=2 k +1 has a solution is -

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of a is, a. -3 b. -1 c. 0 d. 3

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that |[b+c ,a-b, a] ,[c+a, b-c ,b],[ a+b, c-a, c]|=3abc-a^3-b^3-...

    Text Solution

    |

  5. " if " |{:(a^(2),,b^(2),,c^(2)),((a+1)^(2),,(b+1)^(2),,(c+1)^(2)),((a-...

    Text Solution

    |

  6. Statement 1: "Delta"= |[m y+n z, m q+n r, m b+n c],[k z-m x, k r-m ...

    Text Solution

    |

  7. Prove that |[1, 1, 1]; [a, b, c]; [ bc+a^2, ac+b^2, ab+c^2]|=2(a-b)(b...

    Text Solution

    |

  8. If =|sin theta cos var phi sin theta sin var phi cos theta cos theta c...

    Text Solution

    |

  9. The system of equations -2x+y+z=a, x-2y+z=b, x+y-2z=c, has: (a)no so...

    Text Solution

    |

  10. Show that if x1, x2, x3!=0 abs((x1+a1.b1,a1.b2,a1.b3),(a2.b1,x2+a2.b...

    Text Solution

    |

  11. If determinant |[cos(theta+phi),-sin(theta+phi),cos2phi],[sin theta,co...

    Text Solution

    |

  12. If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...

    Text Solution

    |

  13. The values of k in R for which the system of equations x+k y+3z=0,k x...

    Text Solution

    |

  14. A determinant of second order is made with the elements 0 and 1. Fi...

    Text Solution

    |

  15. If a ,b , c are nonzero real numbers such that |[b c,c a, a b],[ c a, ...

    Text Solution

    |

  16. Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[...

    Text Solution

    |

  17. Consider the determinant f(x)=|[0,x^2-a, x^3-b], [x^2+a,0,x^2+c], [x^4...

    Text Solution

    |

  18. Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|

    Text Solution

    |

  19. Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...

    Text Solution

    |

  20. If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a ...

    Text Solution

    |