If a-x-b-b-y-c-c-z-a then show that xyz-1-

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Toppr Admin · Accepted Answer

Ax-b-1- by-c-2- cz-a-3-Now putting the value of c from -2- in -3- we get-byz-aNow using the value of b from -1- in the above equation we get-axyz-aor- xyz-1-

If $a^{x} = b, b^{y} = c, c^{z} = a$ then show that $x y z = 1$ .

$a^{x} = b$ ......(1), $b^{y} = c$ ......(2), $c^{z} = a$ ......(3).
Now putting the value of $c$ from (2) in (3) we get,
$b^{y z} = a$
Now using the value of $b$ from (1) in the above equation we get,
$a^{x y z} = a$
or, $x y z = 1$ .

If ax=b,by=c,cz=a then show that xyz=1.

ax=b......(1), by=c......(2), cz=a......(3).Now putting the value of c from (2) in (3) we get,byz=aNow using the value of b from (1) in the above equation we get,axyz=aor, xyz=1.

If $a^{x} = b, b^{y} = c, c^{z} = a$ then show that $x y z = 1$ .

$a^{x} = b$ ......(1), $b^{y} = c$ ......(2), $c^{z} = a$ ......(3).
Now putting the value of $c$ from (2) in (3) we get,
$b^{y z} = a$
Now using the value of $b$ from (1) in the above equation we get,
$a^{x y z} = a$
or, $x y z = 1$ .