If `y=x+x^(2)+x^(3)+....` up to infinite terms where `xlt1`, then which one of the following is correct?

If x=1-y+y^(2)-y^(3)+..... up to infinite terms, where |y|lt1 , then which one of the following is correct?

If (log_(3)x)^(2)+log_(3)xlt2 , then which one of the following is correct ?

If the system of equations 2x + 3y = 7 and 2ax + (a + b) y = 28 has infinitely many solutions, then which one of the following is correct ?

The sum of an infinite GP is x and the common ratio r is such that |r|lt1 . If the first term of the GP is 2, then which one of the following is correct ?

If k=x-y + 2z where -2 le x le 1, -1 le y le2 and 3 le z le 6 then which one of the following is correct ?

Consider the following function f:RtoR such that f(x)=x" if "xge0andf(x)=-x^(2)" if "xlt0 . Then, which one of the following is correct?