For what values of a and b, the system ...

For what values of `a` and ` b,` the system of equations `2x+a y+6z=8,` `x+2y+b z=5,` `x+y+3z=4` has: (i) a unique solution (ii) infinitely many solutions (iii) no solution

Text Solution

AI Generated Solution

Topper's Solved these Questions

DERIVATIVES AS A RATE MEASURER
RD SHARMA ENGLISH|Exercise All Questions|168 Videos
DIFFERENTIABILITY
RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y+b z=5 x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions no solution

For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz=5,x+y+3z=4 has (i) no solution (ii) a unique solution (iii) infinitely many solutions.

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

For what values of p and q the system od equations x+y+z=6 x+2y+3z=10 x+2y+pz=q has (i) unique sollution ? (ii) an infinitely many solutions ? (iii) no solution ?

If the system of equations 2x+ay+6z=8, x+2y+z=5, 2x+ay+3z=4 has a unique solution then 'a' cannot be equal to :

. For what values of lambda and mu the system of equations x+y+z=6, x+2y+3z=10, x+2y+lambdaz=mu has (i) Unique solution (ii) No solution (iii) Infinite number of solutions

The system of linear equations x + y + z = 2 2x + y -z = 3 3x + 2y + kz = 4 has a unique solution, if

Consider the system of equations {:(2x+lambday+6z=8),(x+2y+muz=5),(x+y+3z=4):} The system of equations has : Infinitely many solutions if :

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

RD SHARMA ENGLISH-DETERMINANTS-All Questions

Determine the values of lambda for which the following system of equat...
Text Solution
|
For what values of a and b , the following system of equations is cons...
Text Solution
|
For what values of a and b, the system of equations 2x+a y+6z=8, x+2...
Text Solution
|
Solve the following system of linear equations by Cramers rule: x-2...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2x-...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2x-...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 3x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2x-...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 3x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 5x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 9x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: x+2...
Text Solution
|
Solve the following system of the linear equations by cramer's rule 3x...
Text Solution
|
Solve the following system of linear equations by Cramers rule: x-4...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 6x+...
Text Solution
|
Solve the following system of linear equations by Cramers rule: x+y...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2y-...
Text Solution
|
Solve the following system of equations using Cramers rule. 5x-7y+z=11...
Text Solution
|
Solve the following system of linear equations by Cramers rule: 2x-...
Text Solution
|