Sridhara's Contributions to Algebra

Sridhara's Contributions to Algebra

15 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

Who is known as the first Indian mathematician to provide a systematic study of indeterminate equations of the first degree?

  1. Aryabhata
  2. Bhaskara II
  3. Sridhara
  4. Brahmagupta
Question 2 Multiple Choice (Single Answer)

What is the name of the method developed by Sridhara for solving indeterminate equations of the first degree?

  1. Kuttaka method
  2. Chakravala method
  3. Bhaskara's method
  4. Aryabhata's method
Question 3 Multiple Choice (Single Answer)

What is the main idea behind the Kuttaka method?

  1. Using continued fractions
  2. Using the Euclidean algorithm
  3. Using the method of false position
  4. Using the method of exhaustion
Question 4 Multiple Choice (Single Answer)

What is the general form of an indeterminate equation of the first degree?

  1. $ax + by = c$
  2. $ax^2 + bx + c = 0$
  3. $ax^3 + bx^2 + cx + d = 0$
  4. $ax^4 + bx^3 + cx^2 + dx + e = 0$
Question 5 Multiple Choice (Single Answer)

What is the significance of Sridhara's work on indeterminate equations?

  1. It led to the development of new methods for solving linear equations.
  2. It provided a foundation for the study of number theory.
  3. It influenced the work of later mathematicians such as Bhaskara II.
  4. All of the above
Question 6 Multiple Choice (Single Answer)

What other contributions did Sridhara make to algebra?

  1. He developed a method for solving quadratic equations.
  2. He developed a method for solving cubic equations.
  3. He developed a method for solving quartic equations.
  4. He developed a method for solving quintic equations.
Question 7 Multiple Choice (Single Answer)

What is the name of the method developed by Sridhara for solving quadratic equations?

  1. Kuttaka method
  2. Chakravala method
  3. Bhaskara's method
  4. Aryabhata's method
Question 8 Multiple Choice (Single Answer)

What is the main idea behind the Chakravala method?

  1. Using continued fractions
  2. Using the Euclidean algorithm
  3. Using the method of false position
  4. Using the method of exhaustion
Question 9 Multiple Choice (Single Answer)

What is the significance of Sridhara's work on quadratic equations?

  1. It led to the development of new methods for solving quadratic equations.
  2. It provided a foundation for the study of algebra.
  3. It influenced the work of later mathematicians such as Bhaskara II.
  4. All of the above
Question 10 Multiple Choice (Single Answer)

What other contributions did Sridhara make to mathematics?

  1. He developed a method for solving cubic equations.
  2. He developed a method for solving quartic equations.
  3. He developed a method for solving quintic equations.
  4. He developed a method for solving sextic equations.
Question 11 Multiple Choice (Single Answer)

What is the name of the method developed by Sridhara for solving cubic equations?

  1. Kuttaka method
  2. Chakravala method
  3. Bhaskara's method
  4. Aryabhata's method
Question 12 Multiple Choice (Single Answer)

What is the main idea behind the Bhaskara's method?

  1. Using continued fractions
  2. Using the Euclidean algorithm
  3. Using the method of false position
  4. Using the method of exhaustion
Question 13 Multiple Choice (Single Answer)

What is the significance of Sridhara's work on cubic equations?

  1. It led to the development of new methods for solving cubic equations.
  2. It provided a foundation for the study of algebra.
  3. It influenced the work of later mathematicians such as Bhaskara II.
  4. All of the above
Question 14 Multiple Choice (Single Answer)

What other contributions did Sridhara make to mathematics?

  1. He developed a method for solving quartic equations.
  2. He developed a method for solving quintic equations.
  3. He developed a method for solving sextic equations.
  4. He developed a method for solving septic equations.
Question 15 Multiple Choice (Single Answer)

What is the name of the method developed by Sridhara for solving quartic equations?

  1. Kuttaka method
  2. Chakravala method
  3. Bhaskara's method
  4. Aryabhata's method