If S is the set of distinct values of ' ...

If `S` is the set of distinct values of `' b` for which the following system of linear equations `x+y+z=1` `x+a y+z=1` `a x+b y+z=0` has no solution, then `S` is : a finite set containing two or more elements (2) a singleton an empty set (4) an infinite set

a singleton set

an empty set

an infinite set

a finite set containing two or more elements

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
MATRICES
MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos
MATHEMATICAL REASONING
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
PARABOLA
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If S is the set of distinct values of 'b for which the following system of linear equations x+y+z=1x+ay+z=1ax+by+z=0 has no solution,then S is : a finite set containing two or more elements ( 2) a singleton an empty set (4) an infinite set

If the following system of linear equations 2x + y + z = 5 x - y +z = 3 x + y + az = b has no solution, then :

Les S the set of all real values of a for which the following system of linear equations ax+2y+5z=1 2x+y+3z=1 3y+7z=1 is consistent. Then the set S is:

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.

Let S be the set of all lamda in R for which the system of linear equations 2x - y + 2z =2 x -2y + lamda x=-4 x + lamda y + z=4 has no solution . Then the set S

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers

If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...
Text Solution
|
Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...
Text Solution
|
If S is the set of distinct values of ' b for which the following syst...
Text Solution
|
If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to
Text Solution
|
The number of real values of lambda for which the system of linear equ...
Text Solution
|
Let A be any 3xx3 invertible matrix. Thenwhich one of the following i...
Text Solution
|
For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...
Text Solution
|
If x =a, y=b, z=c is a solution of the system of linear equations x...
Text Solution
|
If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...
Text Solution
|
Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and...
Text Solution
|
If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...
Text Solution
|
The number of values of k for which the system of linear equations, (k...
Text Solution
|
The system of linear equations x+y+z =2, 2x+3y+2z =...
Text Solution
|
If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...
Text Solution
|
A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...
Text Solution
|
If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...
Text Solution
|
If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...
Text Solution
|
The number of possible value of theta lies in (0,pi), such that system...
Text Solution
|
Let A=|{:(,0,21,r),(,p,q,-r),(,p,-q,r):}|=A A^(T)=I(3) then |p| is
Text Solution
|
If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x...
Text Solution
|