Analytic Method: The word “analytic” is derived from the word “analysis” which means “breaking up” or resolving a thing into its constituent elements. The original meaning of the word analysis is to unloose or to separate things that are together. In this method, we break up the unknown problem into simpler parts and then see how these can be recombined to find the solution. So, we start with what is to be found out and then think of further steps or possibilities the may connect the unknown built the known and find out the desired result. 
Merits

• It develops the power of thinking and reasoning
• It develops originality and creativity amongst the students.
• It helps in a clear understanding of the subject because the students have to go through the whole process themselves.
• It is a psychological method.
• No cramming is required in this method.
• Teaching by this method, the teacher carries the class with him.
• It develops self-confidence and self-reliant in the pupil. Knowledge gained by this method is more solid and durable.
• It is based on the heuristic method.

Demerits

• It is a time-consuming and lengthy method, so it is uneconomical.
• In it, facts are not presented in neat and systematic order.
• This method is not suitable for all the topics in mathematics.
• This does not find favour with all the students because below-average students fail to follow this method.
• Every teacher cannot use this method successfully

Hence, we conclude that the above statement is of analysis method.

• Inductive Method: The inductive approach is based on the process of induction. It is a method of constructing a formula with the help of a sufficient number of concrete examples. Inductive approach proceeds from particular cases to general rules of formulae, concrete instance to abstract rules, known to unknown, simple to complex
• Deductive method: This method is based on deduction. In this approach, we proceed from general to particular and from abstract and concrete. The deductive approach proceeds form general rule to specific instances, unknown to known, abstract rule to a concrete instance, complex to simple 
• Synthetic Method: The word "synthetic" is derived from the word ‘synthesis which means to combine. In this method, we combine several facts, perform cer­tain mathematical operations, and arrive at the solution. In this method, we start with the known data and connect it with the unknown part.