Class 10 Maths Coordinate Geometry PYQs & Formulas CBSE Board 2025 | NCERT + Govt Exams

# 📌 YouTube Video Description

✨ **Class 10 CBSE | Coordinate Geometry Important Questions 2025 | NCERT Board Exam + Govt. Exams**

Are you preparing for **CBSE Class 10 Maths Board Exam**? 🚀
In this video, we cover the **most important previous year questions** of *Coordinate Geometry* that are repeatedly asked in **Board Exams, NTSE, TGT, PGT, UPSC, SSC, Railway & all Govt. Exams**.

🔥 **What’s Inside This Video:**
🔍 *Important Question Types* (high-yield for exams)
✅ Distance Formula – Find distance between two points
✅ Section Formula (internal & external) – Divide a line in given ratio
✅ Midpoint / Trisection Points – Divide a line into equal parts
✅ Collinearity Tests – Check if points are in a straight line
✅ Area of Triangle & Quadrilateral using coordinates
✅ Point Equidistant from Two Points

🛠 **Sample Previous Year Questions Covered:**
1️⃣ If P(a/8,4) is midpoint of A(-5,2), B(4,6), find ‘a’.
2️⃣ Find x if distance between (0,0) & (x,-4) = 5 units.
3️⃣ Points P & Q trisect AB where A(-2,0), B(0,8). Find P & Q.
4️⃣ Show (3,0), (6,4), (-1,3) form a right-angled isosceles triangle.
5️⃣ Find the area of quadrilateral given 4 vertices.

📖 **Must-Know Formulas for Exam Success:**
✔ Distance Formula
✔ Midpoint Formula
✔ Section Formula (internal & external)
✔ Trisection / Dividing line in m\:n ratio
✔ Collinearity Tests (Slope & Area = 0 method)
✔ Area of Triangle/Quadrilateral (Determinant Method)
✔ Equidistant Point Formula

🎯 This video is a **complete revision booster** for:

* **CBSE & NCERT Class 10 Board Exams 2025**
* **UP Board, ICSE, State Boards**
* **Competitive Exams** (UPSC, SSC, TGT, PGT, Railways, Banking)

💡 Don’t just watch—**practice along** to master Coordinate Geometry!

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🔍 Important Question Types

These are commonly asked or high-yield questions from past papers:

Type Sample / Description
Distance formula Find the distance between two points like A(5, -3) and B(13, m) given distance = 10.
BrainIgniter
+1

Section / Ratio formula (internal / external) Find the ratio in which P divides AB; or find coordinates when you know the ratio.
BrainIgniter
+2
Tiwari Academy
+2

Midpoint / point of trisection Coordinates of the point(s) which divide a segment in equal parts or given ratio.
BrainIgniter
+2
BrainIgniter
+2

Collinearity tests Show if three points are collinear; find parameter values making them collinear.
BrainIgniter
+2
CBSE Tuts
+2

Area of triangle / quadrilateral using coordinates Given vertices, find area; or use mid-points etc.
BrainIgniter
+1

Point equidistant from two points Find x, y such that a point is equidistant from two given points.
CBSE Tuts
+1
🛠 Sample Questions from Previous Years

To give you more concrete practice, here are some exact questions that have appeared (or similar ones will likely appear):

If P
(
𝑎
/
8
,
4
)
(a/8,4) is the midpoint of segment joining A(-5,2) and B(4,6), find ‘a’.
BrainIgniter

Find the values of
𝑥
x if the distance between (0,0) and (x, -4) is 5 units.
BrainIgniter

Points P and Q trisect the line join A(-2,0) & B(0,8). Find P and Q.
BrainIgniter

If the point P(4,m) divides AB in some ratio, find m.
BrainIgniter

Show that points (3,0), (6,4) and (-1,3) are vertices of a right-angled isosceles triangle.
BrainIgniter

Find the area of quadrilateral ABCD with given vertices.
BrainIgniter
+1

✅ Topics & Formulas to Have Rock Solid

Make sure the following are crystal clear & practiced:

Distance formula

Midpoint formula

Section formula (internal & external)

Coordinates of trisection / dividing in any ratio

Collinearity (using area = 0 method or slope method)

Area of triangle/quadrilateral using determinant / coordinate method

Points equidistant from two given points

Видео Class 10 Maths Coordinate Geometry PYQs & Formulas CBSE Board 2025 | NCERT + Govt Exams канала Againing Math