Practice Solutions to Indeterminate Equations - 4.1.1.2.1.4 | Module 4: Scientific and Technological | Essence of Indian Knowledge Tradition
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4.1.1.2.1.4 - Solutions to Indeterminate Equations

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a linear indeterminate equation?

πŸ’‘ Hint: Think of the general form ax + by = c.

Question 2

Easy

Define the Kuttaka method.

πŸ’‘ Hint: Consider its creator, Aryabhata.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the term 'indeterminate' in equations mean?

  • A single solution
  • Multiple solutions
  • No solution

πŸ’‘ Hint: Think about the general forms of these equations.

Question 2

True or False: The Kuttaka method is used to simplify indeterminate equations.

  • True
  • False

πŸ’‘ Hint: Consider what the method aims to achieve.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using the Kuttaka method, solve for integer solutions in the equation 4x + 6y = 48 and state all combinations for (x, y).

πŸ’‘ Hint: Start by isolating one variable, then see how the other reacts.

Question 2

If the coefficient a in the equation ax + by = c is changed while keeping c constant, explain how it affects the possible integer solutions.

πŸ’‘ Hint: Consider how changing one coefficient impacts the balance of the whole equation.

Challenge and get performance evaluation