Home
Class 12
MATHS
The values of lambda and b for which the...

The values of `lambda` and b for which the equations `x+y+z=3`, `x+3y+2z=6`, and `x+lambday+3z=b` have

A

(a) a uniqe solution if `lambda ne 5, b in R`

B

(b) no solution if `lambda ne 5,b=9`

C

(c) infinite many solution `lambda=5,b=9`

D

(d) None of the above

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|18 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Find the value of lambda for whih the homogenous system of equations: 2x+3y - 2z = 0,2x-y+3z=9,7x+ lambda y-z=0 has non-trivial solution.

Find the value of lambda for which the given system of equations: lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 will have a non-zero solution.

The values of k in R for which the system of equations x+ky+3z=0 , kx+2y +2z =0 ,2x+3y+4z=0 has nontrivial solution are

Find all integers lambda for which the system of equations x+2y - 3z = 1,2x - lambday - 3z = 2x+2y + lambda z = 3 has a unique solution.

Find lambda and mu so that the simultaneous equations x+y+z= 6, x + 2y + 3z = 10, x + 2y + lambda z = mu have infinite number of solutions.

Find lambda and mu so that the simultaneous equations x+y+z= 6, x + 2y + 3z = 10, x + 2y + lambda z = mu have a unique solution

Find lambda and mu so that the simultaneous equations x+y+z= 6, x + 2y + 3z = 10, x + 2y + lambda z = mu have no solution.

For what value of lambda , the following system of equations {:(x+y+z = 6),(4x+lambday - lambdaz= 0),(3x + 2y - 4z = -5):} does not have a unique solution?

The value of a for which system of equations , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x + y + z = 0 , has a non-zero solution is:

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