Find the two signs to be interchanged for making the following equation correct.
$$9+6\times 3-9÷1=10$$

Let us test the sign interchanges from the options to find the one that balances the equation according to the BODMAS rule:
Test **Option B ($÷$ and $-$)**:
The modified equation becomes:

$$9+6\times 3÷9-1=10$$

Now evaluate using BODMAS:

1. Division: Evaluate $3÷9=\frac{3}{9}=\frac{1}{3}$

$$9+6\times \frac{1}{3}-1=10$$

2. Multiplication: Evaluate $6\times \frac{1}{3}=2$

$$9+2-1=10$$

3. Addition/Subtraction:

$$11-1=10$$

$$10=10(\text{LHS}=\text{RHS})$$

Thus, interchanging $÷$ and $-$ makes the equation correct.