Hello Students! 👋
Aaj hum Maths ki ek bahut hi interesting branch start karne wale hain — Coordinate Geometry. Ye branch Geometry aur Algebra ko connect karti hai.
Coordinate Geometry ka main kaam hai kisi bhi point ki exact position pata lagana.
🤔 Kyun Chahiye Coordinate Geometry?
Maan lo tum apne friend ke ghar jaana chahte ho. Agar wo sirf ye bole, "Main Street No. 5 mein rehta hoon," toh kya tum uska ghar dhoond paoge?
Nahi! Kyunki Street No. 5 mein toh bahut saare ghar honge. Tumhe House Number bhi chahiye hoga.
Imagine karo tum cinema hall mein movie dekhne gaye ho. Tumhare ticket par likha hai:
Iska matlab kya hai?
- H: Row number (Kaunsi line hai).
- 12: Us row mein kaunsi seat hai.
Agar sirf "Row H" pata ho, toh tum confuse ho jaoge ki kaunsi seat par baithna hai. Agar sirf "Seat 12" pata ho, toh tumhe pata nahi chalega ki kaunsi line mein jaana hai. Tumhe Dono information chahiye ek specific seat par pahunchne ke liye.
Bas yahi Coordinate Geometry ka basic idea hai: Kisi point ko locate karne ke liye humein Do (2) pieces of information chahiye hoti hain.
🎥 Video Explanation
English Explanation
Hindi Explanation
📊 Infographic Summary
👴 History: The Fly on the Ceiling
Ye idea sabse pehle 17th Century mein ek French mathematician René Descartes ko aaya tha.
Ek din wo apne bed par leta hua tha aur chhat (ceiling) par ek makkhi (fly) ko dekh raha tha. Usne socha, "Agar mujhe is makkhi ki exact position kisi ko batani ho, toh main kaise bataunga?"
Usne realize kiya ki wo ceiling ke do adjacent walls (kone wali deewarein) se distance naap kar position bata sakta hai. Example: "Makkhi left wall se 2 meter dur hai aur bottom wall se 3 meter dur hai."
Is system ko uske naam par Cartesian System kaha jata hai.
Real Life Examples 🌍
- Google Maps: Jab tum location share karte ho, wo Latitude aur Longitude (do numbers) use karta hai tumhe locate karne ke liye.
- Chess Board: Chess ke har square ka ek naam hota hai, jaise 'E4' (Column E, Row 4).
- Graphs: Cricket match mein run rate ka graph dekhna.
📌 Aage Ka Content (Coming Next)
Next lesson mein hum seekhenge ki Cartesian System mein points ko kaise likhte hain (x-axis, y-axis, origin).