1.If the system of linear equations2x+2ay+az=02x + 2ay + az = 02x+2ay+az=02x+3by+bz=02x + 3by + bz = 02x+3by+bz=02x+4cy+cz=02x + 4cy + cz = 02x+4cy+cz=0where a,b,c∈Ra, b, c \in \mathbb{R}a,b,c∈R are non-zero and distinct, has a non-zero solution, thena.1a,1b,1c\frac{1}{a}, \frac{1}{b}, \frac{1}{c}a1,b1,c1 are in A.P.b.a,b,ca, b, ca,b,c are in G.P.c.a+b+c=0a + b + c = 0a+b+c=0d.a,b,ca, b, ca,b,c are in A.P.Login to continueOnly logged in users canattempt or see the solution.