Coordinate Geometry — Class 9 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Coordinate Geometry" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Coordinate Geometry" — 8 important questions with detailed answers for CBSE board e…
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Key Questions Covered:
- Plot the following points on a coordinate plane and determine which quadrant …
- Find the distance between points P(1, 3) and Q(4, 7).
- Find the coordinates of the midpoint of the line segment joining A(-2, 4) and…
- + 5 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Plot the following points on a coordinate plane and deter… | ✓ Solved |
| Find the distance between points P(1, 3) and Q(4, 7). | ✓ Solved |
| Find the coordinates of the midpoint of the line segment … | ✓ Solved |
Showing 3 of 8 questions
Q1: Plot the following points on a coordinate plane and determine which quadrant each belongs to: A(3, 4), B(-2, 5), C(-3, -2), D(4, -1).
Step 1: Understand quadrants
Quadrant I: x > 0, y > 0
Quadrant II: x < 0, y > 0
Quadrant III: x < 0, y < 0
Quadrant IV: x > 0, y < 0
Step 2: Classify each point
Point A(3, 4): x = 3 > 0, y = 4 > 0 → Quadrant I
Point B(-2, 5): x = -2 < 0, y = 5 > 0 → Quadrant II
...
Q2: Find the distance between points P(1, 3) and Q(4, 7).
Points: P(1, 3) and Q(4, 7)
Use distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Step 1: Identify coordinates
x₁ = 1, y₁ = 3
x₂ = 4, y₂ = 7
Step 2: Calculate differences
x₂ - x₁ = 4 - 1 = 3
y₂ - y₁ = 7 - 3 = 4
Step 3: Square the differences
(x₂ - x₁)² = 3² = 9
(y₂ - y₁)² = 4² = 16
Step 4: Sum an...
Q3: Find the coordinates of the midpoint of the line segment joining A(-2, 4) and B(6, -2).
Points: A(-2, 4) and B(6, -2)
Use midpoint formula: M = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Step 1: Identify coordinates
x₁ = -2, y₁ = 4
x₂ = 6, y₂ = -2
Step 2: Calculate x-coordinate of midpoint
x_M = (x₁ + x₂)/2 = (-2 + 6)/2 = 4/2 = 2
Step 3: Calculate y-coordinate of midpoint
y_M = (y₁ + y₂)/2 = (4 + (...
Showing 3 of 8 questions. Visit the full page for complete solutions.