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Jyeshtadeva's Contributions to Algebra

Description: Jyeshtadeva was an Indian mathematician who lived in the 16th century. He is best known for his work on algebra, in particular for his development of the concept of the indeterminate coefficient. This quiz will test your knowledge of Jyeshtadeva's contributions to algebra.
Number of Questions: 5
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Tags: indian mathematics algebra jyeshtadeva
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What was Jyeshtadeva's most significant contribution to algebra?

  1. The development of the concept of the indeterminate coefficient

  2. The development of the concept of the zero

  3. The development of the concept of the negative number

  4. The development of the concept of the irrational number

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Correct Option: A
Explanation:

Jyeshtadeva's most significant contribution to algebra was the development of the concept of the indeterminate coefficient. This concept allowed him to solve algebraic equations that were previously unsolvable.

What is an indeterminate coefficient?

  1. A coefficient that is not known in advance

  2. A coefficient that is equal to zero

  3. A coefficient that is equal to one

  4. A coefficient that is equal to two

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Correct Option: A
Explanation:

An indeterminate coefficient is a coefficient that is not known in advance. It is used to represent an unknown quantity in an algebraic equation.

How did Jyeshtadeva use indeterminate coefficients to solve algebraic equations?

  1. He used them to eliminate variables from equations

  2. He used them to substitute values for variables

  3. He used them to factor equations

  4. He used them to solve equations by trial and error

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Correct Option: A
Explanation:

Jyeshtadeva used indeterminate coefficients to eliminate variables from equations. This allowed him to reduce the number of variables in an equation and make it easier to solve.

What was Jyeshtadeva's other major contribution to algebra?

  1. The development of the concept of the zero

  2. The development of the concept of the negative number

  3. The development of the concept of the irrational number

  4. The development of the concept of the indeterminate coefficient

Show answer
Correct Option: A
Explanation:

Jyeshtadeva's other major contribution to algebra was the development of the concept of the zero. This concept allowed him to represent the absence of a quantity in an algebraic equation.

How did Jyeshtadeva's work on algebra influence the development of mathematics?

  1. It led to the development of new methods for solving algebraic equations

  2. It led to the development of new concepts in algebra, such as the concept of the indeterminate coefficient

  3. It led to the development of new applications of algebra in other fields of mathematics

  4. All of the above

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Correct Option: D
Explanation:

Jyeshtadeva's work on algebra led to the development of new methods for solving algebraic equations, new concepts in algebra, such as the concept of the indeterminate coefficient, and new applications of algebra in other fields of mathematics.

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