Brahmagupta's Contributions to Algebra

Description: Brahmagupta's Contributions to Algebra
Number of Questions: 15
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Brahmagupta's most famous work is:

  1. Brahmasphutasiddhanta

  2. Khandakhadyaka

  3. Aryabhatiya

  4. Surya Siddhanta


Correct Option: A
Explanation:

Brahmasphutasiddhanta is an astronomical and mathematical treatise written by Brahmagupta in 628 CE.

Brahmagupta's formula for solving quadratic equations is:

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

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

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

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


Correct Option: A
Explanation:

Brahmagupta's formula for solving quadratic equations is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

Brahmagupta's formula for solving indeterminate linear equations is:

  1. $x = \frac{c}{a}$

  2. $x = \frac{c}{b}$

  3. $x = \frac{a}{c}$

  4. $x = \frac{b}{c}$


Correct Option: A
Explanation:

Brahmagupta's formula for solving indeterminate linear equations is $x = \frac{c}{a}$.

Brahmagupta's formula for finding the area of a triangle is:

  1. $A = \frac{1}{2}bh$

  2. $A = \frac{1}{2}ab$

  3. $A = \frac{1}{2}bc$

  4. $A = \frac{1}{2}ca$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the area of a triangle is $A = \frac{1}{2}bh$.

Brahmagupta's formula for finding the volume of a pyramid is:

  1. $V = \frac{1}{3}Bh$

  2. $V = \frac{1}{3}Ah$

  3. $V = \frac{1}{3}Bh^2$

  4. $V = \frac{1}{3}Ah^2$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a pyramid is $V = \frac{1}{3}Bh$.

Brahmagupta's formula for finding the volume of a sphere is:

  1. $V = \frac{4}{3}\pi r^3$

  2. $V = \frac{1}{3}\pi r^3$

  3. $V = \frac{2}{3}\pi r^3$

  4. $V = \frac{3}{4}\pi r^3$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a sphere is $V = \frac{4}{3}\pi r^3$.

Brahmagupta's formula for finding the circumference of a circle is:

  1. $C = \pi d$

  2. $C = 2\pi r$

  3. $C = \pi r^2$

  4. $C = 2\pi r^3$


Correct Option: B
Explanation:

Brahmagupta's formula for finding the circumference of a circle is $C = 2\pi r$.

Brahmagupta's formula for finding the area of a circle is:

  1. $A = \pi r^2$

  2. $A = 2\pi r$

  3. $A = \pi d$

  4. $A = 2\pi r^3$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the area of a circle is $A = \pi r^2$.

Brahmagupta's formula for finding the volume of a cylinder is:

  1. $V = \pi r^2h$

  2. $V = 2\pi rh$

  3. $V = \pi d^2h$

  4. $V = 2\pi dh$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a cylinder is $V = \pi r^2h$.

Brahmagupta's formula for finding the volume of a cone is:

  1. $V = \frac{1}{3}\pi r^2h$

  2. $V = \frac{1}{2}\pi r^2h$

  3. $V = \frac{1}{4}\pi r^2h$

  4. $V = \frac{1}{5}\pi r^2h$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a cone is $V = \frac{1}{3}\pi r^2h$.

Brahmagupta's formula for finding the volume of a sphere is:

  1. $V = \frac{4}{3}\pi r^3$

  2. $V = \frac{1}{3}\pi r^3$

  3. $V = \frac{2}{3}\pi r^3$

  4. $V = \frac{3}{4}\pi r^3$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a sphere is $V = \frac{4}{3}\pi r^3$.

Brahmagupta's formula for finding the circumference of a circle is:

  1. $C = \pi d$

  2. $C = 2\pi r$

  3. $C = \pi r^2$

  4. $C = 2\pi r^3$


Correct Option: B
Explanation:

Brahmagupta's formula for finding the circumference of a circle is $C = 2\pi r$.

Brahmagupta's formula for finding the area of a circle is:

  1. $A = \pi r^2$

  2. $A = 2\pi r$

  3. $A = \pi d$

  4. $A = 2\pi r^3$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the area of a circle is $A = \pi r^2$.

Brahmagupta's formula for finding the volume of a cylinder is:

  1. $V = \pi r^2h$

  2. $V = 2\pi rh$

  3. $V = \pi d^2h$

  4. $V = 2\pi dh$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a cylinder is $V = \pi r^2h$.

Brahmagupta's formula for finding the volume of a cone is:

  1. $V = \frac{1}{3}\pi r^2h$

  2. $V = \frac{1}{2}\pi r^2h$

  3. $V = \frac{1}{4}\pi r^2h$

  4. $V = \frac{1}{5}\pi r^2h$


Correct Option: A
Explanation:

Brahmagupta's formula for finding the volume of a cone is $V = \frac{1}{3}\pi r^2h$.

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