Fewpal
+2 votes
1.6k views
in JEE by (127k points)
recategorized by

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

1 Answer

+2 votes
by (13.5k points)
selected by
 
Best answer

Solution:

=> a = 1

For a = 1 we have first two planes co-incident

x + y + z = 1
ax + by + z = 0
For no solution these two are parallel

1/a = 1/b 1/1
=> a = 1 , b = 1

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...