Who is the father of mathematics?

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Archimedes, the Greek mathematician is known as the Father of Mathematics. He significantly contributed significantly to the development of mathematics. In different eras, different mathematicians contributed to form mathematics as it is today.

The earliest known mathematician known is Pythagoras. He developed the popular Pythagoras theorem.

Pythagoras

Pythagoras

Afterward came, Archimedes who is most popularly regarded as the ‘father of mathematics’. He developed the famous Archimedes principle.

Archimedes

Archimedes

Next came Aryabhata, who is widely regarded as the ‘father of mathematics in India’. He developed the number zero.

Aryabhata

Notable Contributions of Archimedes

Derivation of ‘pi’ which is the ratio of the circumference of a circle to its diameter.
The relationship between cylinders and spheres.
Use of prime numbers
Infinity concept

Archimedes’ contributions to the fields of maths, astronomy, physics, and philosophy have been notable. With a long trail of discoveries and inventions under his name, Archimedes is rightly regarded as the “Father of Maths.”

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Related Concepts
Triangle Theorems	Tangent to a Circle	Ceva’s Theorem
Basic proportionality Theorem	Bayes’ Theorem	Probability Distribution

CBSE CLASS XII Related Questions

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at $x=0$, then find the value of $k$.

$0$
$-2$
$-1$
$2$

View Solution

2.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :

3.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

View Solution

4.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of $p$ and $q$.

$p = -\frac{2}{3}, \, q = \frac{5}{3}$
$p = -\frac{8}{3}, \, q = \frac{20}{3}$
$p = \frac{20}{3}, \, q = -\frac{8}{3}$
$p = 0, \, q = 0$

View Solution

5.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

Reflexive only
Reflexive and Transitive
Symmetric and Transitive
Symmetric only

View Solution

6.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

View Solution

Who is the father of mathematics?

Notable Contributions of Archimedes

CBSE CLASS XII Related Questions

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

3.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

4.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

5.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

6.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

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Who is the father of mathematics?

Notable Contributions of Archimedes

CBSE CLASS XII Related Questions

1. Find: If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

3. Find: The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

4. Find: If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

5.A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

6.Evaluate:\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

3.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

4.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

5.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

6.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]