$x = 1 + a + {a^2} + ....\infty \,(a < 1)$ $y = 1 + b + {b^2}.......\infty \,(b < 1)$ Then the value of $1 + ab + {a^2}{b^2} + ..........\infty $ is
$x = 1 + a + {a^2} + ....\infty \,(a < 1)$ $y = 1 + b + {b^2}.......\infty \,(b < 1)$ Then the value of $1 + ab + {a^2}{b^2} + ..........\infty $ is
- A
$\frac{{xy}}{{x + y - 1}}$
- B
$\frac{{xy}}{{x + y + 1}}$
- C
$\frac{{xy}}{{x - y - 1}}$
- D
$\frac{{xy}}{{x - y + 1}}$
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