topic19

Description: This quiz is designed to test your understanding of the contributions of Indian mathematicians to the field of geometry, specifically in the area of topic19.
Number of Questions: 15
Created by:
Tags: indian mathematics geometry topic19
Attempted 0/15 Correct 0 Score 0

Which Indian mathematician is credited with developing the concept of the cyclic quadrilateral?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: C
Explanation:

Brahmagupta, a renowned Indian mathematician and astronomer, is credited with developing the concept of the cyclic quadrilateral, also known as Brahmagupta's quadrilateral, in the 7th century.

What is the name of the theorem that states that the sum of the squares of the diagonals of a cyclic quadrilateral is equal to the sum of the squares of its sides?

  1. Brahmagupta's Theorem

  2. Pythagoras' Theorem

  3. Euler's Theorem

  4. Descartes' Theorem


Correct Option: A
Explanation:

Brahmagupta's Theorem, also known as Brahmagupta's formula, establishes that in a cyclic quadrilateral, the sum of the squares of the diagonals is equal to the sum of the squares of its sides.

Which Indian mathematician is known for his work on the construction of regular polygons?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, a prominent Indian mathematician and astronomer, is recognized for his contributions to the construction of regular polygons, including methods for constructing regular pentagons, hexagons, and octagons.

What is the name of the formula that provides the area of a regular polygon with n sides and side length s?

  1. Brahmagupta's Formula

  2. Pythagoras' Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: A
Explanation:

Brahmagupta's Formula, also known as Brahmagupta's rule, provides the area of a regular polygon with n sides and side length s as (1/4) * n * s^2 * cot(180/n).

Which Indian mathematician developed the concept of the Pythagorean triples?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option:
Explanation:

Baudhayana, an ancient Indian mathematician, is credited with developing the concept of Pythagorean triples, which are sets of three positive integers a, b, and c that satisfy the equation a^2 + b^2 = c^2.

What is the name of the theorem that states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides?

  1. Pythagoras' Theorem

  2. Brahmagupta's Theorem

  3. Euler's Theorem

  4. Descartes' Theorem


Correct Option: A
Explanation:

Pythagoras' Theorem, also known as the Pythagorean equation, establishes that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Which Indian mathematician is known for his work on the construction of the Sulba Sutras?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Baudhayana


Correct Option: D
Explanation:

Baudhayana, an ancient Indian mathematician, is renowned for his work on the construction of the Sulba Sutras, a collection of mathematical texts that provide instructions for constructing altars and other geometric figures.

What is the name of the theorem that states that the sum of the interior angles of a triangle is always 180 degrees?

  1. Triangle Sum Theorem

  2. Pythagoras' Theorem

  3. Euler's Theorem

  4. Descartes' Theorem


Correct Option: A
Explanation:

The Triangle Sum Theorem, also known as the Angle Sum Theorem, states that the sum of the interior angles of a triangle is always 180 degrees.

Which Indian mathematician developed the concept of the golden ratio?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: A
Explanation:

Aryabhata, a prominent Indian mathematician and astronomer, is credited with developing the concept of the golden ratio, also known as the divine proportion, in the 5th century.

What is the name of the theorem that states that the ratio of the golden ratio is approximately 1.618?

  1. Golden Ratio Theorem

  2. Pythagoras' Theorem

  3. Euler's Theorem

  4. Descartes' Theorem


Correct Option: A
Explanation:

The Golden Ratio Theorem, also known as the Divine Proportion Theorem, establishes that the ratio of the golden ratio is approximately 1.618.

Which Indian mathematician is known for his work on the construction of the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II, a renowned Indian mathematician and astronomer, is credited with developing the concept of the Fibonacci sequence in the 12th century.

What is the name of the sequence in which each number is the sum of the two preceding ones, starting with 0 and 1?

  1. Fibonacci Sequence

  2. Pythagorean Sequence

  3. Euler Sequence

  4. Descartes Sequence


Correct Option: A
Explanation:

The Fibonacci Sequence is a sequence in which each number is the sum of the two preceding ones, starting with 0 and 1.

Which Indian mathematician is known for his work on the construction of Pascal's triangle?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II, a prominent Indian mathematician and astronomer, is credited with developing the concept of Pascal's triangle in the 12th century.

What is the name of the triangular array of binomial coefficients that arises in combinatorics?

  1. Pascal's Triangle

  2. Pythagorean Triangle

  3. Euler Triangle

  4. Descartes Triangle


Correct Option: A
Explanation:

Pascal's Triangle is a triangular array of binomial coefficients that arises in combinatorics.

Which Indian mathematician is known for his work on the construction of the binomial theorem?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Varahamihira


Correct Option: B
Explanation:

Bhaskara II, a renowned Indian mathematician and astronomer, is credited with developing the concept of the binomial theorem in the 12th century.

- Hide questions