Maths Questions

Graphs of Different Types of Functions
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Inequalities vs Intervals – Simplified Guide

Apollonius's theorem relates the lengths of the sides of a triangle to the length of a median, stating that for a triangle ABC with median AD to side BC, the sum of the squares of the two sides (AB² + AC²) equals twice the sum of the squares of the median (2AD²) and half the third side (2BD² or 2CD²). The formula is expressed as AB² + AC² = 2(AD² + BD²), where D is the midpoint of BC, meaning BD = CD.

ALGEBRA✍️
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Learn Length Conversions in Just One Chart!

The Secrets of Pascal Triangle

Pascal's Triangle has a long and diverse history, with similar patterns studied by ancient mathematicians in India, Persia, and China centuries before Blaise Pascal. Mathematicians like Pingala in India, Al-Karaji in Persia, and Yang Hui in China all documented the structure of the triangle and its properties. While Pascal's 1653 Traité du Triangle Arithmétique popularized the triangle in the West by detailing its many applications, it is named after him because it was his comprehensive work on the subject that truly brought it to wider attention.

🧮 Math Showdown of 1696 🧮
Johann Bernoulli, a famous Swiss mathematician, threw a tough challenge to the world:
"Find the fastest path a ball can slide down under gravity."
(This became the famous brachistochrone problem.)

He gave everyone 6 months to solve it.

Enter Isaac Newton — working a full-time sarkari job in England. He came home after work, solved it overnight, and sent in the answer anonymously the next day.
💥 One night. One genius. One perfect solution.

When Bernoulli saw it, he knew:
👉 “I recognise the lion by his paw.”

Newton didn’t just solve the problem — he showed the world who’s boss. 😎🔥