SECTION-4 : (Maximum Marks : 12)

This section contains FOUR (04) Matching List Sets.

Each set has ONE Multiple Choice Question.

Each set has TWO lists : List-I and List-II.

List-I has Four entries (P), (Q), (R) and (S) and List-II has Five entries (1), (2), (3), (4) and (5). FOUR options are given in each Multiple Choice Question based on List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.

• Answer to each question will be evaluated according to the following marking scheme:

Full Marks : +3 ONLY if the option corresponding to the correct combination is chosen;

Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);

Negative Marks : -1 In all other cases.

Let and be real numbers, consider the following system of linear equations x + 2y + z = 7 x + z = 11 2x-3y+ z = y

Match each entry in List -1 to the correct entries in List-II

List-I List-II

(P) If and = 28,

then the system has (1)a unique solution

(Q) If and ,

then the system has (2) no solution

(R) If where = 1 and ,

then the system has (3) infinitely many solutions

(S) If where = 1 and = 28,

then the system has

(4) x = 11, y = -2 and z = 0 as a solution

(5) x = -15, y = 4 and z = 0 as a solution

The correct option is :