lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.
- A.
9/16 - B.
3/4 - C.
1 - D.
4/3 - E.
16/6
Correct Answer: Option C
Explanation
16/9, x, 1, y => a, ar, ar^{2}, ar^{3}
ar^{2} = 1 => 16r^{2}/9 = 1 => 16r^{2}
9 => r^{2} = 9/16 => r = 3/4
ar^{2} = y = ar^{2} x r = 1 x 3/4 = 3/4
x xy = 4/3 x 3/4 = 1