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Indian Contributions to Algebra: Unveiling the Roots of Modern Mathematics

Description: Indian Contributions to Algebra: Unveiling the Roots of Modern Mathematics
Number of Questions: 15
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Tags: indian mathematics algebra history of mathematics
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Who is considered the father of Indian algebra?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta is widely recognized as the father of Indian algebra for his groundbreaking work in the 7th century.

What is the name of the treatise written by Brahmagupta that contains significant contributions to algebra?

  1. Brahmasphutasiddhanta

  2. Surya Siddhanta

  3. Aryabhatiya

  4. Lilavati


Correct Option: A
Explanation:

Brahmagupta's treatise, Brahmasphutasiddhanta, is a seminal work that includes substantial contributions to algebra, including the introduction of negative numbers and the solution of quadratic equations.

Which Indian mathematician is credited with developing the concept of zero?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata is credited with introducing the concept of zero as a placeholder and a number in his work, Aryabhatiya, in the 5th century.

What is the name of the formula developed by Brahmagupta for solving quadratic equations?

  1. Brahmagupta's formula

  2. Bhaskara's formula

  3. Aryabhata's formula

  4. Varahamihira's formula


Correct Option: A
Explanation:

Brahmagupta's formula is a quadratic equation solver that provides a general solution for finding the roots of a quadratic equation.

Which Indian mathematician is known for his work on indeterminate equations and Diophantine analysis?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara is renowned for his contributions to indeterminate equations and Diophantine analysis, including his work on Pell's equation and other Diophantine problems.

What is the name of the method developed by Indian mathematicians for solving indeterminate equations?

  1. Chakravala method

  2. Kuttaka method

  3. Aryabhata's method

  4. Brahmagupta's method


Correct Option: A
Explanation:

The Chakravala method is a cyclic algorithm developed by Indian mathematicians for solving indeterminate equations, particularly Pell's equation.

Which Indian mathematician is credited with developing the concept of negative numbers?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta is credited with introducing the concept of negative numbers and developing rules for their operations in his treatise, Brahmasphutasiddhanta.

What is the name of the treatise written by Bhaskara that includes significant contributions to algebra?

  1. Brahmasphutasiddhanta

  2. Surya Siddhanta

  3. Aryabhatiya

  4. Lilavati


Correct Option: D
Explanation:

Bhaskara's treatise, Lilavati, is a comprehensive work on mathematics that includes substantial contributions to algebra, arithmetic, and geometry.

Which Indian mathematician is known for his work on cubic equations and the development of the cubic formula?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara is renowned for his work on cubic equations and the development of the cubic formula, which provides a general solution for finding the roots of a cubic equation.

What is the name of the formula developed by Bhaskara for solving cubic equations?

  1. Brahmagupta's formula

  2. Bhaskara's formula

  3. Aryabhata's formula

  4. Varahamihira's formula


Correct Option: B
Explanation:

Bhaskara's formula is a cubic equation solver that provides a general solution for finding the roots of a cubic equation.

Which Indian mathematician is credited with developing the concept of irrational numbers?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata is credited with introducing the concept of irrational numbers and developing methods for approximating their values.

What is the name of the method developed by Indian mathematicians for approximating the value of pi?

  1. Chakravala method

  2. Kuttaka method

  3. Aryabhata's method

  4. Brahmagupta's method


Correct Option: C
Explanation:

Aryabhata developed a method for approximating the value of pi, which involves calculating the area of a circle using a polygon with a large number of sides.

Which Indian mathematician is known for his work on Diophantine equations and the development of the Pell's equation?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara is renowned for his work on Diophantine equations and the development of the Pell's equation, which is a famous indeterminate equation.

What is the name of the equation developed by Bhaskara that is known as Pell's equation?

  1. Brahmagupta's equation

  2. Bhaskara's equation

  3. Aryabhata's equation

  4. Varahamihira's equation


Correct Option: B
Explanation:

Bhaskara's equation, also known as Pell's equation, is a famous indeterminate equation that involves finding integer solutions to a quadratic equation.

Which Indian mathematician is credited with developing the concept of the golden ratio?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata is credited with introducing the concept of the golden ratio, also known as the divine proportion, and using it in his mathematical calculations.

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