Answer
Verified
397.2k+ views
Hint: Here we will check for each mathematician Aryabhatt, Brahmagupta, Mahavira, Shridhar and check if they all worked on the field of algebra. We must check the contributions of each of the mathematicians and then check their contributions in Algebra.
Complete step-by-step answer:
We write the concepts each mathematician wrote about in the field of algebra.
* Aryabhatt or Aryabahta was first of the mathematicians and astronomers from the classic age of Indian mathematics. He wrote Aryabhatiya in 499CE when he was 23 years old. The Aryabhatiya mentioned about algebra as he provided results for summation of series of squares and cubes as \[{1^2} + {2^2} + ..... + {n^2} = \dfrac{{n(n + 1)}}{2}\] and \[{1^3} + {2^3} + ......{n^3} = {(1 + 2 + .....n)^2}\]. He gave methods of addition, subtraction multiplication of simple and compound algebraic equations.
* Brahmagupta was a mathematician and astronomer who wrote Brahmasphutasiddhanta in 628CE. He gave the solution of a general linear equation in Brahmasphutasiddhanta stating that a quadratic equation \[a{x^2} + bx = c\]has solutions \[x = \dfrac{{ \pm \sqrt {4ac + {b^2}} - b}}{{2a}}\] and \[x = \dfrac{{\sqrt {ac + \dfrac{{{b^2}}}{4}} - \dfrac{b}{2}}}{a}\]
* Mahavira was a mathematician of the ninth century who wrote Ganita Sara Sangraha in which he focused on techniques which are necessary to solve algebraic equations, he gave formula for area and perimeter of ellipse and found methods to find square and cube root of a number. He also gave the point that the square root of a negative number doesn’t exist.
* Shridhar was a mathematician and a philosopher who wrote Trisatika which is written in three hundred slokas around 900AD.He gave practical applications of algebra and separated algebra from arithmetic. Also, he was the first person to give roots of quadratic equation by \[\dfrac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\] where the quadratic equation is \[a{x^2} + bx = c\].
From all these four works by four great mathematicians we can say they all wrote about the field of algebra. So the statement given in the question is TRUE.
So, option A is correct.
Note: Students can easily get confused with repetition of work in field of algebra by several mathematician but they should keep in mind that mathematicians tried to improve the solutions and made the formulas as simpler as they could be, so there might be more than one mathematician having the same work in a field.
Complete step-by-step answer:
We write the concepts each mathematician wrote about in the field of algebra.
* Aryabhatt or Aryabahta was first of the mathematicians and astronomers from the classic age of Indian mathematics. He wrote Aryabhatiya in 499CE when he was 23 years old. The Aryabhatiya mentioned about algebra as he provided results for summation of series of squares and cubes as \[{1^2} + {2^2} + ..... + {n^2} = \dfrac{{n(n + 1)}}{2}\] and \[{1^3} + {2^3} + ......{n^3} = {(1 + 2 + .....n)^2}\]. He gave methods of addition, subtraction multiplication of simple and compound algebraic equations.
* Brahmagupta was a mathematician and astronomer who wrote Brahmasphutasiddhanta in 628CE. He gave the solution of a general linear equation in Brahmasphutasiddhanta stating that a quadratic equation \[a{x^2} + bx = c\]has solutions \[x = \dfrac{{ \pm \sqrt {4ac + {b^2}} - b}}{{2a}}\] and \[x = \dfrac{{\sqrt {ac + \dfrac{{{b^2}}}{4}} - \dfrac{b}{2}}}{a}\]
* Mahavira was a mathematician of the ninth century who wrote Ganita Sara Sangraha in which he focused on techniques which are necessary to solve algebraic equations, he gave formula for area and perimeter of ellipse and found methods to find square and cube root of a number. He also gave the point that the square root of a negative number doesn’t exist.
* Shridhar was a mathematician and a philosopher who wrote Trisatika which is written in three hundred slokas around 900AD.He gave practical applications of algebra and separated algebra from arithmetic. Also, he was the first person to give roots of quadratic equation by \[\dfrac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\] where the quadratic equation is \[a{x^2} + bx = c\].
From all these four works by four great mathematicians we can say they all wrote about the field of algebra. So the statement given in the question is TRUE.
So, option A is correct.
Note: Students can easily get confused with repetition of work in field of algebra by several mathematician but they should keep in mind that mathematicians tried to improve the solutions and made the formulas as simpler as they could be, so there might be more than one mathematician having the same work in a field.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE