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Description: This quiz covers the topic of 'Contributions to Geometry' in Indian Mathematics.
Number of Questions: 14
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Tags: indian mathematics geometry contributions
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Who was the first Indian mathematician to write a treatise on geometry?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta was the first Indian mathematician to write a treatise on geometry, called the 'Brahmasphutasiddhanta'.

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. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: A
Explanation:

Brahmagupta's Theorem 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.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Heron's Formula

  4. Euler's Formula


Correct Option: C
Explanation:

Heron's Formula states that the area of a triangle is equal to half the product of its base and height.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the sum of the interior angles of a triangle is equal to 180 degrees.

What is the name of the theorem that states that the sum of the exterior angles of a polygon is equal to 360 degrees?

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: D
Explanation:

Descartes' Theorem states that the sum of the exterior angles of a polygon is equal to 360 degrees.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the area of a circle is equal to pi times the square of its radius.

What is the name of the theorem that states that the volume of a sphere is equal to four-thirds pi times the cube of its radius?

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the volume of a sphere is equal to four-thirds pi times the cube of its radius.

What is the name of the 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. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: B
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.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Heron's Formula

  4. Euler's Formula


Correct Option: C
Explanation:

Heron's Formula states that the area of a triangle is equal to half the product of its base and height.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the sum of the interior angles of a triangle is equal to 180 degrees.

What is the name of the theorem that states that the sum of the exterior angles of a polygon is equal to 360 degrees?

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: D
Explanation:

Descartes' Theorem states that the sum of the exterior angles of a polygon is equal to 360 degrees.

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

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the area of a circle is equal to pi times the square of its radius.

What is the name of the theorem that states that the volume of a sphere is equal to four-thirds pi times the cube of its radius?

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: C
Explanation:

Euler's Formula states that the volume of a sphere is equal to four-thirds pi times the cube of its radius.

What is the name of the 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. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euler's Formula

  4. Descartes' Theorem


Correct Option: B
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.

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