Mathematics

Mathematics

Problem

If the system of linear equations x1+2x2+3x3=6x_1 + 2x_2 + 3x_3 = 6 x1+3x2+5x3=9x_1 + 3x_2 + 5x_3 = 9 2x1+5x2+ax3=b2x_1 + 5x_2 + ax_3 = b is consistent and has infinite number of solutions, then : [JEE-MAIN ONLINE-2013] 1. a∈R−{8}a \in \mathbb{R} - \{8\} and b∈R−{15}b \in \mathbb{R} - \{15\} 2. a=8a = 8 , bb can be any real number 3. a=8a = 8 , b=15b = 15 4. b=15b = 15 , aa can be any real number

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