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Question

If any number divided by zero is infinity and
if zero divided by any number is 0 then

What is 0/0????
​​​​​

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Solution

0/0 is indeterminate.

Definition of indeterminate form. : any of the seven undefined expressions 0/0, ∞/∞, 0·∞, ∞−∞, 00, ∞0, and 1 that a mathematical function may assume by formal substitution.​​​​​

Let us consider a universe where division by zero is actually defined.

Note:
I know this isn't possible, but the resulting explanation turns out to be very simple.

0∗3=0
So, 3=0/0

But, 0∗69=0
So, 69=0/0

It is clear that zero divided by zero can take any value.

Thus, zero divided by zero is indeterminate.


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