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Brahmagupta's Contributions to Algebra

Brahmagupta's Contributions to Algebra

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Questions

Question 1 Multiple Choice (Single Answer)

Brahmagupta's most famous work is:

  1. Brahmasphutasiddhanta
  2. Khandakhadyaka
  3. Aryabhatiya
  4. Surya Siddhanta
Question 2 Multiple Choice (Single Answer)

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. $x = \frac{-b \pm \sqrt{b^2 + 2ac}}{2a}$
Question 3 Multiple Choice (Single Answer)

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. $x = \frac{b}{c}$
Question 4 Multiple Choice (Single Answer)

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. $A = \frac{1}{2}ca$
Question 5 Multiple Choice (Single Answer)

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. $V = \frac{1}{3}Ah^2$
Question 6 Multiple Choice (Single Answer)

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. $V = \frac{3}{4}\pi r^3$
Question 7 Multiple Choice (Single Answer)

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. $C = 2\pi r^3$
Question 8 Multiple Choice (Single Answer)

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. $A = 2\pi r^3$
Question 9 Multiple Choice (Single Answer)

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. $V = 2\pi dh$
Question 10 Multiple Choice (Single Answer)

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. $V = \frac{1}{5}\pi r^2h$
Question 11 Multiple Choice (Single Answer)

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. $V = \frac{3}{4}\pi r^3$
Question 12 Multiple Choice (Single Answer)

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. $C = 2\pi r^3$
Question 13 Multiple Choice (Single Answer)

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. $A = 2\pi r^3$
Question 14 Multiple Choice (Single Answer)

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. $V = 2\pi dh$
Question 15 Multiple Choice (Single Answer)

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