Home
Class 12
MATHS
If the system of equations x+a y=0,a z+y...

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 equation has no solution is `-3` b. `1` c. `0` d. `3`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The system of equations x+py=0, y+pz=0 and z+px=0 has infinitely many solutions for

If the system of equations x+a y=0,a z+y=0 and a x+z=0 has infinite solutions, then the value of a is (a) -1 (b) 1 (c) 0 (d) no real values

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

If the system of equations ax + by + c = 0,bx + cy +a = 0, cx + ay + b = 0 has infinitely many solutions then the system of equations (b + c) x +(c + a)y + (a + b) z = 0 (c + a) x + (a+b) y + (b + c) z = 0 (a + b) x + (b + c) y +(c + a) z = 0 has

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are a. -1,2 b. 1,2 c. 0,1 d. -1,1

If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z = 3 has an infinite number of solutions and solution triplet is

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

if the system of equations {:(ax+y+2z=0),(x+2y+z=b),(2x+y+az=0):} has no solution then (a+b) can be equals to :

The system of equations ax-y- z=a-1 ,x-ay-z=a-1,x-y-az=a-1 has no solution if a is:

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. Which of the following values of alpha satisfying the equation |(1+alp...

    Text Solution

    |

  2. Show that: |[3a,-a+b,-a+c],[-b+a,3b,-b+c],[-c+a,-c+b,3c]|=3(a+b+c)(a b...

    Text Solution

    |

  3. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

    Text Solution

    |

  4. If |[6i,-3i,1],[ 4, 3i,-1],[ 20, 3,i]|=x+i y , then a.x=3,y=1 b. x=1,y...

    Text Solution

    |

  5. The value of |[yz, z x,x y],[ p,2q,3r],[1, 1, 1]| , where x ,y ,z are ...

    Text Solution

    |

  6. Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Bond energies can be obtained by using the following relation: DeltaH ...

    Text Solution

    |

  12. Prove that =|1 1 1a b c b c+a^2a c+b^2a b+c^2|=2(a-b)(b-c)(c-a)

    Text Solution

    |

  13. If =|s inthetacosvarphisinthetas invarphicosthetacosthetacosvarphicost...

    Text Solution

    |

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

    Text Solution

    |

  15. Show that if x1, x2, x3!=0 |x1+a1b1a1b2a1b3a2b1x2+a2b2a2b3a3b1a3b2x3+...

    Text Solution

    |

  16. Figure shows a wire ring of radius a that is perpendicular to the gene...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. For a concave mirror, if real image is formed the graph between (1)/(u...

    Text Solution

    |