IEO Level 2- English Olympiad (SOF) Class 9 Coaching Programs

⏳ 🎯 Online Tests (2 Tests [50 Questions Each]): NTA Pattern, Analytics & Explanations

Click Here to View & Get Complete Material

Rs. 200.00

3 Year Validity (Multiple Devices)

πŸŽ“ Study Material (303 Notes): 2024-2025 Syllabus

Click Here to View & Get Complete Material

Rs. 450.00

3 Year Validity (Multiple Devices)

🎯 250 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)

Click Here to View & Get Complete Material

Rs. 200.00

3 Year Validity (Multiple Devices)

Cartesian System of Rectangular Co-Ordinates, Quardrants, Distance between Two Points

Quardrants

We know that coordinate axes and divide the region of the plane into four regions. These regions are called the quardrants as shown in Fig. In accordance with the convention of signs, for a point in different quadrants, we have

Illustration: Quardrants

I quadrant:

II quadrant:

III quadrant:

IV quadrant:

Distance between Two Points

Recall that you have derived the distance formula between two points and in the following manner:

Let us draw a line through . Let be the point of intersection of the perpendicular from to the line . Then is a right-angled triangle.

Illustration: Distance between Two Points

Also

And

Now (Pythagoras theorem)

Example:

Find the distance between the following pairs of points:

(1) and (2) and

Solution:

(1) Distance between two points

Here

Distance between and

Distance between and is units.

(2) Here

Distance between and

Distance between and is units