Home
Class 12
MATHS
If the system of linear equations {:(x...

If the system of linear equations
`{:(x+2ay+az=0),(x+3by+bz=0),(x+4cy+cz=0):}`
has a non zero solutions, then `a, b, c` are in

A

`(1)/(a), (1)/(b), (1)/(c)` are in A.P.

B

`a,b,c` are in A.P.

C

a,b,c are G.P.

D

`a+b+c=0`

Text Solution

Verified by Experts

The correct Answer is:
`A`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

If the system of linear equations x + 2ay + az = 0 x + 3by + bz = 0 x + 4cy + cz = 0 has a non-zero solution, then a, b, c

If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy + cz =0 has a non-zero solution, then a, b, c

If the system of equations x + 4ay + az = 0 and x + 3by + bz = 0 and x + 2cy + cz = 0 have a nonzero solution, then a, b, c ( != 0) are in

If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y+c z=0 has a non zero solution then (a) System is always non trivial solutions (b) System is consistent only when a=b=c (c) If a!=b!=c then x=0,\ y=t ,\ z=-t\ AAt in R (d) If a=b=c\ t h e n\ y=t_1, z=t_2,\ x=-a(t_1+t_2)AAt_1, t_2 in R

If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 has a non-zero solution (x,y,z) then (xz)/(y^2) is equal to

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 :

Prove that the system of equations in xa +y+z=0 , x +by +z=0 , x +y+cz=0 has a non - trivial solution then 1/(1-a) + 1/(1-b)+ 1/(1-c)=

If the system of linear equations x=cy+bz , y=az+cx , z=bx+ay has a non trivial solution show that a^2+b^2+c^2+2abc=1

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

If the system of linear equations ax +by+ cz =0 cx + ay + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then:

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by. Then ...

    Text Solution

    |

  2. If alpha and beta are the roots of equation (k+1) tan^(2)x-sqrt2lambda...

    Text Solution

    |

  3. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  4. Find the greatest value of k for which 49^(k)+1 is a factor of 1+49+49...

    Text Solution

    |

  5. Let P be a plane passing through the points (2,1,0) (4,1,1) and (5,0,1...

    Text Solution

    |

  6. If f(x) is continuous and differentiable in x in [-7,0] and f'(x) le 2...

    Text Solution

    |

  7. If f(a+b+1-x)=f(x), for all x where a and b are fixed positive real nu...

    Text Solution

    |

  8. Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e...

    Text Solution

    |

  9. If z=x+iy and real part ((z-1)/(2z+i))=1 then locus of z is

    Text Solution

    |

  10. The area that is enclosed in the circle x^(2)+y^(2)=2 which is not com...

    Text Solution

    |

  11. If distance between the foci of an ellipse is 6 and distance between i...

    Text Solution

    |

  12. (p to q) wedge (q to -p) is equivalent to

    Text Solution

    |

  13. If g(x)=x^(2)+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  14. Let alpha be a root of the equation x ^(2) + x + 1 = ...

    Text Solution

    |

  15. Let x^(k)+y^(k) , (a,k gt 0) and (dy)/(dx) +((y)/(x))^((1)/(3)) =0 the...

    Text Solution

    |

  16. lim ( x to 2 ) ( 3 ^(x) + 3 ^( 3 - x ) - 12 ) /( 3 ...

    Text Solution

    |

  17. Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be t...

    Text Solution

    |

  18. If f(x)=|2-|x-3|| is non differentiable in X in S. Then value of unde...

    Text Solution

    |

  19. If variance of first n natural number is 10 and variance of first m ev...

    Text Solution

    |

  20. If sum of all the coefficient of even powers in (1-x+x^(2)-x^(3)....x^...

    Text Solution

    |