The number of equations we get is always one less than the number of nodes in the circuit, hence for 10 nodes we get 9 equations.HENCE,CORRECT OPTION IS (B).

Explanation:

In a circuit with 10 nodes, the number of equations we get depends on the type of circuit and the number of independent variables. The number of equations can be determined using Kirchhoff's laws and Ohm's law.

Kirchhoff's Laws:
1. Kirchhoff's Current Law (KCL): The sum of currents entering a node is equal to the sum of currents leaving the node.
2. Kirchhoff's Voltage Law (KVL): The sum of voltages around any closed loop in a circuit is zero.

Number of Equations:
To determine the number of equations, we need to consider the number of independent variables in the circuit.

1. For a simple resistive circuit without any independent voltage or current sources, the number of equations is equal to the number of nodes minus one. This is because the voltage at one node can be taken as a reference and all other voltages can be expressed relative to this reference node.

2. For a circuit with independent voltage sources, the number of equations is equal to the number of nodes minus the number of independent voltage sources. This is because the voltage at each node can be determined by Kirchhoff's laws, except for the nodes connected to independent voltage sources.

3. For a circuit with independent current sources, the number of equations is equal to the number of nodes minus the number of independent current sources plus one. This is because the current at each node can be determined by Kirchhoff's laws, except for the nodes connected to independent current sources. However, one additional equation is required to satisfy KCL at a reference node.

In this case, we are not given the type of circuit or the presence of any independent sources. Therefore, we assume a simple resistive circuit without any independent sources.

Using the formula for a simple resistive circuit, the number of equations we get is equal to the number of nodes minus one. Since there are 10 nodes, the number of equations is 10 - 1 = 9.

Hence, the correct answer is option (B) 9.