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Option 1 : (a) and (b)

Mathematics pervades all branches of knowledge and all walks of life. The development and innovations in science and technology, which are the main driving force of unprecedented change happening across the world, are based on the application of mathematics.
Nature of mathematics
  • Mathematics is logical all concepts of mathematics i.e. arithmetic, algebra and analysis can be defined in terms of concepts of logic.
  • Mathematics is symbolic these symbols add power to mathematics and allow us to easily visualize whether a mathematical statement is correct and valid or not.
  • Mathematics can be understood as a science of patterns as every concept in mathematics follows a pattern and a logic on which every problem will be solved.
  • Mathematics aims at abstraction, it is one of the amazing features of mathematics.This nature of mathematics gives rise to the development of new areas of mathematics like algebra.

Hence A & B are the correct options. 

  • As mathematics is based on logic, there is very limited space for creativity in mathematics is not true because mathematics provides a lot of scope for creativity as there is no single method fixed to solve a problem, the same problem can be solved in a number of ways which promotes the creativity of a child.
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