1 letm and n be nonzero constant. lets be the following system in the unknowns y and i nx tmy = n Which of the Following is true ?" ( a) S always has in Finitely many solutions. (b) S always has a unique solution 19 S is Inconsistant For Some in and n (aj s is always consitent ( 9) none of These . (@) Suppose that S is linear System in X 1 X 2 and X 3. let T be a linear system in viv and w that is obtained from S as Follow : Replace every accurance OF X, in s by au + 1; replace every accurance of x, in S by Qu ta; replace every allurence of fo in s by Qw t 2 . which statement is true? U (9) . T may be inconsistent even when S is consistent (b) T may be consistent even when I is inconsitent ( C) T is consistent if and only if S is consistent (d) It is possible that S has infinitely many solution w I has only one solution. el none of the above3 Suppare That S, and Sa, one linear System in X, 4, and 2 . Assume that the solution sets For S, and s are respectively , at + s t ts (t- 25 sitER and 2 HER let S be the same consisting of all the equation in Stand Say For istance, if S, has 4 equations and So has 3 equators, then S has exactly 7 equation. Which of the Following is true ? ( 9) S is inconsistent by Without additional information , it is impossible to determine the solution set of s . ( 0 ) S has exactly one solution If I has infinitely many solutim of none of the abovel 19 ) let S be a linear system whose augmented matily 1 2 3 2 O k-Q ) where k is some const K- 3k+2 3 The number of different values OF K For which S h many value is ( @)O (b) more than 1 but finitely many ( d ) infinity man es none of these .15) Te S be a linear System whose augmented 3- is 2 O ar Where y is some constant, Which of O the Following is true ? @) S has a unique solution for atleast one value of v ( b) S has no solution for atleast one value of v CS always has infinitely many solution for allvalers of Y 0 is a solution For J For all values ofy lef hone of the above