Bootcamp for Question Type 4: For given parameters in the linear equations, find the value of the parameter that will result in no solution, one solution or infinite number of solutions - IB | RevisionDojo
Question Type 4: For given parameters in the linear equations, find the value of the parameter that will result in no solution, one solution or infinite number of solutions
Question Type 4: For given parameters in the linear equations, find the value of the parameter that will result in no solution, one solution or infinite number of solutions Bootcamps
Question 1
Skill question
Find all values of the parameters a and k for which the system has no solution, exactly one solution, or infinitely many solutions:
{ax+2y=32x+4y=k
Question 2
Skill question
Classify the solutions in terms of a and b for the system
{(a+1)x+2y=52(a+1)x+(4+b)y=10
Question 3
Skill question
Classify the solutions in terms of a and b for the system
{ax+y=22x+ay=b
Question 4
Skill question
Find all a and k yielding no solution, one solution, or infinitely many solutions:
{(2−a)x+y=34x+(2−a)y=k
Question 5
Skill question
Find all k and b so that the system has no solution, exactly one solution, or infinitely many solutions:
{(1−k)x+y=22x+(2−2k)y=b
Question 6
Skill question
For which values of a and b does the system have no solution, exactly one solution, or infinitely many solutions?
{(a−1)x+y=22x+(b−2)y=3
Question 7
Skill question
Determine all a and b for which the system has no solution, exactly one solution, or infinitely many solutions:
{(2a)x+3y=1(4a)x+by=2
Question 8
Skill question
Classify all (a,b) for which the system has no solution, exactly one solution, or infinitely many solutions:
{(3a)x+6y=96x+(12+b)y=18
Question 9
Skill question
Find all a and b for which the 3×3 system has no solution, exactly one solution, or infinitely many solutions:
⎩⎨⎧x+y+z=1ax+y+z=1x+ay+z=b
Question 10
Skill question
Determine all a for which the system has no solution, exactly one solution, or infinitely many solutions:
⎩⎨⎧ax+y+z=1x+ay+z=1x+y+az=1
Question 11
Skill question
Determine for which parameters the system has no solution, exactly one solution, or infinitely many solutions: