Questions
The system of linear equations has
Remember concepts with our Masterclasses.
80k Users 60 mins Expert Faculty Ask Questions
a
A unique solution when α=2
b
A unique solution when α≠2
c
An infinitely number of solutions when α=2
d
An infinitely number of solutions when α=-2
Ready to Test Your Skills?
Check Your Performance Today with our Free Mock Tests used by Toppers!detailed solution
Correct option is D
givenx−y+z=1______1x+y−z=3______2x−4y+4z=α______3From eqns 1 & 2 x=2⇒y-z=1 & −4y+4z=α−24y−4z+−4y+4z=4+α−2⇒α+2=0⇒α=−2The system of has no solution forα≠−2 If α=−2, then the system is consistent and has infinite number of solutions. (since y-z=1 has infinite number of solutions)Similar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
Popular Books
HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions
Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions
