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

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

If tan^2 y cosec^2 x – 1 = tan^2 y , 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 x^(ln)[(y)/(z)].y^(ln[xz]^(2)),z^(ln[(x)/(y)])=y^(4ln y) for any x>1,y>1 and z>1, 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 ?

One experessing x in terms of y for the linear equation 2/3x+4y=-7 which of the following is correct