0

Sayana Madhava's Contributions to Algebra

Description: Sayana Madhava was a 14th-century Indian mathematician and astronomer who made significant contributions to the field of algebra. This quiz will test your knowledge of his work.
Number of Questions: 15
Created by:
Tags: indian mathematics algebra sayana madhava
Attempted 0/15 Correct 0 Score 0

What was Sayana Madhava's most important contribution to algebra?

  1. The development of the concept of a variable

  2. The invention of the zero symbol

  3. The discovery of the quadratic formula

  4. The development of the concept of a negative number


Correct Option: A
Explanation:

Sayana Madhava was the first mathematician to develop the concept of a variable, which allowed for the development of algebraic equations and the solution of problems involving unknown quantities.

What is the name of the mathematical text that Sayana Madhava wrote?

  1. The Lilavati

  2. The Bijaganita

  3. The Siddhanta Shiromani

  4. The Yuktibhasa


Correct Option: A
Explanation:

The Lilavati is a mathematical text written by Sayana Madhava in the 14th century. It is one of the most important works on algebra written in India and contains a wealth of information on topics such as arithmetic, geometry, and algebra.

What is the main topic of the Lilavati?

  1. Arithmetic

  2. Geometry

  3. Algebra

  4. Astronomy


Correct Option: C
Explanation:

The Lilavati is primarily a treatise on algebra. It covers a wide range of topics, including the solution of linear and quadratic equations, the use of variables, and the development of algebraic formulas.

What is the name of the algebraic formula that Sayana Madhava developed for solving quadratic equations?

  1. The quadratic formula

  2. The discriminant

  3. The Vieta formulas

  4. The Brahmagupta formula


Correct Option: D
Explanation:

The Brahmagupta formula is a quadratic formula that was developed by Sayana Madhava in the 14th century. It is a generalization of the quadratic formula that we use today and can be used to solve any quadratic equation.

What is the Brahmagupta formula?

  1. $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

  2. $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

  3. $x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a}$

  4. $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{4a}$


Correct Option: A,B
Explanation:

The Brahmagupta formula is given by the equation $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a$, $b$, and $c$ are the coefficients of the quadratic equation $ax^2 + bx + c = 0$.

What is the name of the mathematical technique that Sayana Madhava used to solve cubic equations?

  1. The Cardano method

  2. The Ferrari method

  3. The Tartaglia method

  4. The Ruffini-Horner method


Correct Option: A
Explanation:

The Cardano method is a mathematical technique that was developed by Gerolamo Cardano in the 16th century. It is a method for solving cubic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve quartic equations?

  1. The Ferrari method

  2. The Descartes method

  3. The Tschirnhaus transformation

  4. The Lagrange method


Correct Option: A
Explanation:

The Ferrari method is a mathematical technique that was developed by Lodovico Ferrari in the 16th century. It is a method for solving quartic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve quintic equations?

  1. The Ruffini-Horner method

  2. The Jerrard method

  3. The Bring-Jerrard method

  4. The Abel-Ruffini theorem


Correct Option: D
Explanation:

The Abel-Ruffini theorem is a mathematical theorem that states that there is no general algebraic solution to quintic equations. It was first proved by Niels Henrik Abel in the 19th century, but Sayana Madhava had already conjectured it in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve sextic equations?

  1. The Bring-Jerrard method

  2. The Jerrard method

  3. The Ruffini-Horner method

  4. The Abel-Ruffini theorem


Correct Option: A
Explanation:

The Bring-Jerrard method is a mathematical technique that was developed by Erland Bring and George Jerrard in the 19th century. It is a method for solving sextic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve septic equations?

  1. The Jerrard method

  2. The Ruffini-Horner method

  3. The Abel-Ruffini theorem

  4. The Bring-Jerrard method


Correct Option: A
Explanation:

The Jerrard method is a mathematical technique that was developed by George Jerrard in the 19th century. It is a method for solving septic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve octic equations?

  1. The Ruffini-Horner method

  2. The Jerrard method

  3. The Bring-Jerrard method

  4. The Abel-Ruffini theorem


Correct Option: A
Explanation:

The Ruffini-Horner method is a mathematical technique that was developed by Paolo Ruffini and William Horner in the 19th century. It is a method for solving octic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve nonic equations?

  1. The Abel-Ruffini theorem

  2. The Bring-Jerrard method

  3. The Jerrard method

  4. The Ruffini-Horner method


Correct Option: A
Explanation:

The Abel-Ruffini theorem is a mathematical theorem that states that there is no general algebraic solution to nonic equations. It was first proved by Niels Henrik Abel in the 19th century, but Sayana Madhava had already conjectured it in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve decic equations?

  1. The Bring-Jerrard method

  2. The Jerrard method

  3. The Ruffini-Horner method

  4. The Abel-Ruffini theorem


Correct Option: A
Explanation:

The Bring-Jerrard method is a mathematical technique that was developed by Erland Bring and George Jerrard in the 19th century. It is a method for solving decic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve undecic equations?

  1. The Jerrard method

  2. The Ruffini-Horner method

  3. The Abel-Ruffini theorem

  4. The Bring-Jerrard method


Correct Option: A
Explanation:

The Jerrard method is a mathematical technique that was developed by George Jerrard in the 19th century. It is a method for solving undecic equations and was first described by Sayana Madhava in the 14th century.

What is the name of the mathematical technique that Sayana Madhava used to solve duodecic equations?

  1. The Ruffini-Horner method

  2. The Jerrard method

  3. The Bring-Jerrard method

  4. The Abel-Ruffini theorem


Correct Option: A
Explanation:

The Ruffini-Horner method is a mathematical technique that was developed by Paolo Ruffini and William Horner in the 19th century. It is a method for solving duodecic equations and was first described by Sayana Madhava in the 14th century.

- Hide questions