Home
Class 12
MATHS
The sum of distinct value of lambda fo...

The sum of distinct value of `lambda` for which the system of equations
`(lambda -1 )x + (3lambda + 1) y + 2 lambda x= 0`
`(lambda -1) x + (4lambda - 2) y + (lambda + 3) x= 0`
`2x + (2lambda + 1) y + 3(lambda - 1) z=0`
has non - zeor solutions is ______.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

The sum of possible value of lambda for which the system of equations (lambda+1)x+8y=4 lambda and lambda x+(lambda+3)y=3 lambda-1 is inconsistent is

The number of real values of lambda for which the system of equations lambda x+y+z=0,x-lambda y-z=0,x+y-lambda z=0 will have nontrivial solution is

The intergral value of lambda for which the expression x^(2)-lambda x+(1-2 lambda^(2))>0,AA x in R is

The value of lambda for which the equation lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0 will have two roots equal to zero is

Find all values of lambda for which the (lambda-1)x+(3 lambda+1)y+2 lambda z=0(lambda-1)x+(4 lambda-2)y+(lambda+3)z=02x+(3 lambda+1)y+3(lambda-1)z possess non-trivial solution and find the ratios x:y:z, where lambda has the smallest of these value.

Determine the values of lambda for which the following system of equations: lambda x+3y-z=1x+2y+z=2-lambda x+y+2z=-1 has non-trival solutions.

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3x+y=6 lambda is the point (lambda^(2)+1,lambda) If so find lambda_(.)

A system of equations lambda x+y+z=1,x+lambda y+z=lambda,x+y+lambda z=lambda^(2) have no solution then value of lambda is

The system of equations lambda x+(lambda+1)y+(lambda-1)z=0,(lambda+1)x+lambda y+(lambda+z)z=0,(lambda-1)x+(lambda+2)y+lambda z= bas a non-trivial solutions for

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. The probabilites fo three events A, B and C are given by P(A) = 0.6...

    Text Solution

    |

  2. Suppose that a function f : R to R satisfies f(x + y) = f(x) f(y) ...

    Text Solution

    |

  3. The sum of distinct value of lambda for which the system of equati...

    Text Solution

    |

  4. If vec(x) and vec(y) be two non - zero vectors such that |vec(x) ...

    Text Solution

    |

  5. Consider the date on x taking the values 0,2,4,8,………., 2^(n) with ...

    Text Solution

    |

  6. The number of word (with or without meaning ) that can be formed ...

    Text Solution

    |

  7. int(pi/6)^(pi/3) tan^3xsin^2 3x(2sec^2x sin^2 3x+3tanx.sin6x)dx

    Text Solution

    |

  8. Let uuu(i=1)^(50)X(i)=uuu(i=1)^(n)Y(i)=T, where each X(i) contains 10 ...

    Text Solution

    |

  9. If alpha,beta are roots of x^2-x+2lambda=0 and alpha,gamma are roots o...

    Text Solution

    |

  10. Contrapositive of the statement : 'If a function f is differentiable...

    Text Solution

    |

  11. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  12. Suppose the vectors x(1), x(2) and x(3) are the solutions of the syste...

    Text Solution

    |

  13. Two persons A and B play a game of throwing a pair of dice until one o...

    Text Solution

    |

  14. The area (in sq. units) of the largest rectangle ABCD whose vertices A...

    Text Solution

    |

  15. The angle of elevation of a cloud C from a point P, 200 m above a stil...

    Text Solution

    |

  16. Let f:(0, oo)rarr(0, oo) be a differentiable function such that f(1)=e...

    Text Solution

    |

  17. Let a(1), a(2), ……, a(n) be a given A.P. whose common difference is an...

    Text Solution

    |

  18. If for some positive integer n, the coefficients of three consecutive ...

    Text Solution

    |

  19. If a and b are real numbers such that (2+alpha)^(4)=a+balpha, where al...

    Text Solution

    |

  20. The solution of the differential equation (dy)/(dx)-(y+3x)/(log(e)(y+3...

    Text Solution

    |