topic2

Description: This quiz covers the topic of Indian Contributions to Geometry, specifically focusing on the concept of topic2.
Number of Questions: 15
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What is the name of the Indian mathematician who is credited with discovering the Pythagorean theorem?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: A
Explanation:

Baudhayana was an Indian mathematician who lived in the 8th century BCE. He is credited with discovering the Pythagorean theorem, which states 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 developed the concept of the cyclic quadrilateral?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: D
Explanation:

Brahmagupta was an Indian mathematician who lived in the 6th century CE. He developed the concept of the cyclic quadrilateral, which is a quadrilateral whose vertices lie on a circle.

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

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: D
Explanation:

Brahmagupta's theorem states that the sum of the interior angles of a triangle is 180 degrees. This theorem was first discovered by the Greek mathematician Euclid, but it was later rediscovered by Brahmagupta.

Which Indian mathematician developed the concept of the Brahmagupta quadrilateral?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: D
Explanation:

Brahmagupta was an Indian mathematician who lived in the 6th century CE. He developed the concept of the Brahmagupta quadrilateral, which is a quadrilateral whose diagonals are perpendicular to each other.

What is the name of the Indian theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: D
Explanation:

Brahmagupta's theorem states that the area of a triangle is equal to half the product of its base and height. This theorem was first discovered by the Greek mathematician Heron of Alexandria, but it was later rediscovered by Brahmagupta.

Which Indian mathematician developed the concept of the Bhaskara circle?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: C
Explanation:

Bhaskara was an Indian mathematician who lived in the 12th century CE. He developed the concept of the Bhaskara circle, which is a circle that passes through the three vertices of a triangle.

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

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: C
Explanation:

Bhaskara's theorem states that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides. This theorem was first discovered by the Greek mathematician Ptolemy, but it was later rediscovered by Bhaskara.

Which Indian mathematician developed the concept of the Aryabhata triangle?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: B
Explanation:

Aryabhata was an Indian mathematician who lived in the 5th century CE. He developed the concept of the Aryabhata triangle, which is a right triangle whose sides are in the ratio of 3:4:5.

What is the name of the Indian theorem that states that the area of a circle is equal to pi times the square of its radius?

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: B
Explanation:

Aryabhata's theorem states that the area of a circle is equal to pi times the square of its radius. This theorem was first discovered by the Greek mathematician Archimedes, but it was later rediscovered by Aryabhata.

Which Indian mathematician developed the concept of the Brahmagupta formula?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: D
Explanation:

Brahmagupta was an Indian mathematician who lived in the 6th century CE. He developed the concept of the Brahmagupta formula, which is a formula for finding the area of a cyclic quadrilateral.

What is the name of the Indian theorem that states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse?

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option:
Explanation:

The Pythagorean theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. This theorem was first discovered by the Greek mathematician Pythagoras, but it was later rediscovered by many other mathematicians, including Baudhayana, Aryabhata, Bhaskara, and Brahmagupta.

Which Indian mathematician developed the concept of the Bhaskara method?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option: C
Explanation:

Bhaskara was an Indian mathematician who lived in the 12th century CE. He developed the concept of the Bhaskara method, which is a method for solving quadratic equations.

What is the name of the Indian theorem that states that the sum of the interior angles of a quadrilateral is 360 degrees?

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: D
Explanation:

Brahmagupta's theorem states that the sum of the interior angles of a quadrilateral is 360 degrees. This theorem was first discovered by the Greek mathematician Euclid, but it was later rediscovered by Brahmagupta.

Which Indian mathematician developed the concept of the Brahmagupta-Bhaskara identity?

  1. Baudhayana

  2. Aryabhata

  3. Bhaskara

  4. Brahmagupta


Correct Option:
Explanation:

The Brahmagupta-Bhaskara identity is a formula for finding the area of a cyclic quadrilateral. It was developed by the Indian mathematicians Brahmagupta and Bhaskara.

What is the name of the Indian theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Baudhayana's theorem

  2. Aryabhata's theorem

  3. Bhaskara's theorem

  4. Brahmagupta's theorem


Correct Option: D
Explanation:

Brahmagupta's theorem states that the area of a triangle is equal to half the product of its base and height. This theorem was first discovered by the Greek mathematician Heron of Alexandria, but it was later rediscovered by Brahmagupta.

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