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Description: This quiz covers the topic of Contributions to Geometry in Indian Mathematics.
Number of Questions: 15
Created by:
Tags: indian mathematics geometry contributions
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Who is considered the father of Indian geometry?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta is widely regarded as the father of Indian geometry for his contributions to the field, including his work on the Pythagorean theorem and his development of the cyclic quadrilateral theorem.

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

  1. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Gauss's theorem


Correct Option: C
Explanation:

Euler's theorem states that the sum of the interior angles of a triangle is always 180 degrees. This theorem is named after Leonhard Euler, who first proved it in the 18th century.

Which Indian mathematician developed the concept of the cyclic quadrilateral?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta developed the concept of the cyclic quadrilateral, which is a quadrilateral whose vertices lie on a circle. He also developed a formula for the area of a cyclic quadrilateral.

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. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Heron's formula


Correct Option: D
Explanation:

Heron's formula states that the area of a triangle is equal to half the product of its base and height. This formula is named after Heron of Alexandria, who first discovered it in the 1st century AD.

Which Indian mathematician developed the concept of the Brahmagupta quadrilateral?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta developed the concept of the Brahmagupta quadrilateral, which is a quadrilateral whose diagonals are perpendicular to each other. He also developed a formula for the area of a Brahmagupta quadrilateral.

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

  1. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Gauss's theorem


Correct Option: A
Explanation:

The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse. This theorem is named after Pythagoras, who first discovered it in the 6th century BC.

Which Indian mathematician developed the concept of the Bhaskara circle?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara II developed the concept of the Bhaskara circle, which is a circle that passes through the three vertices of a triangle and is tangent to the incircle of the triangle.

What is the name of the theorem that states that the area of a triangle is equal to half the product of its two sides and the sine of the angle between them?

  1. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Sine rule


Correct Option: D
Explanation:

The sine rule states that the area of a triangle is equal to half the product of its two sides and the sine of the angle between them. This rule is named after the sine function, which is used to calculate the sine of an angle.

Which Indian mathematician developed the concept of the Brahmagupta's formula?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta developed the concept of Brahmagupta's formula, which is a formula for finding the area of a cyclic quadrilateral.

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

  1. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Brahmagupta's theorem


Correct Option: D
Explanation:

Brahmagupta's theorem states that the sum of the squares of the two diagonals of a parallelogram is equal to the sum of the squares of its four sides. This theorem is named after Brahmagupta, who first discovered it in the 7th century AD.

Which Indian mathematician developed the concept of the Bhaskara's formula?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara II developed the concept of Bhaskara's formula, which is a formula for finding the area of a triangle.

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. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Heron's formula


Correct Option: D
Explanation:

Heron's formula states that the area of a triangle is equal to half the product of its base and height. This formula is named after Heron of Alexandria, who first discovered it in the 1st century AD.

Which Indian mathematician developed the concept of the Brahmagupta quadrilateral?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Brahmagupta developed the concept of the Brahmagupta quadrilateral, which is a quadrilateral whose diagonals are perpendicular to each other. He also developed a formula for the area of a Brahmagupta quadrilateral.

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

  1. Pythagorean theorem

  2. Triangle inequality theorem

  3. Euler's theorem

  4. Gauss's theorem


Correct Option: A
Explanation:

The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse. This theorem is named after Pythagoras, who first discovered it in the 6th century BC.

Which Indian mathematician developed the concept of the Bhaskara circle?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: C
Explanation:

Bhaskara II developed the concept of the Bhaskara circle, which is a circle that passes through the three vertices of a triangle and is tangent to the incircle of the triangle.

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