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CBSE Class 10 Visual Mathematics Laboratory

Graph & Coordinate Visualizer

Plot coordinate points, explore linear equation systems, analyze intersection solutions, and visualize quadratic parabola zeroes aligned strictly with the CBSE Class 10 Mathematics curriculum.

Curated Class 10 NCERT PresetsClick to load standard exam example
-8-7-6-5-4-3-2-112345678-6-5-4-3-2-1123456OXYA(3, 4)B(-4, 2)

Points & Quadrants Workspace

Click on the graph to place points or type exact coordinates below (Max 6 points).
A
Point A (3, 4)
Quadrant I (+, +)
Distance from Origin: 5 units
B
Point B (-4, 2)
Quadrant II (−, +)
Distance from Origin: 4.47 units
Class 10 Coordinate Geometry

Coordinate Analysis: Point A(3, 4)

Both x and y are positive (+, +), so the point lies in the top-right Quadrant I.

d(O,A)=(3)2+(4)2=5 unitsd(O, A) = \sqrt{(3)^2 + (4)^2} = 5\text{ units}
x-coordinate = 3 (Horizontal displacement along X-axis).
y-coordinate = 4 (Vertical displacement along Y-axis).
Location: Quadrant I (+, +).
Click anywhere on the Cartesian grid to plot new coordinate points.
NCERT Chapter 7Coordinate Geometry
Master this concept through full notes, question practice, and timed testing.

Understanding Class 10 Coordinate Geometry & Graphs

1. Cartesian Coordinates & Quadrants

The coordinate plane is divided into 4 quadrants by the perpendicular X-axis (y = 0) and Y-axis (x = 0). Point signs determine placement: Q1(+, +), Q2(−, +), Q3(−, −), and Q4(+, −).

2. Distance & Section Formulas

Distance d = √[(x₂ − x₁)² + (y₂ − y₁)²] applies the Pythagorean Theorem. The Section Formula finds point P dividing segment AB in the internal ratio AP : PB = m : n.

3. Pair of Linear Equations (Consistency)

Ratio criteria: a₁/a₂ ≠ b₁/b₂ yields Intersecting lines (1 unique solution). a₁/a₂ = b₁/b₂ ≠ c₁/c₂ yields Parallel lines (No solution). a₁/a₂ = b₁/b₂ = c₁/c₂ yields Coincident lines (Infinitely many solutions).

4. Quadratic Parabola & Discriminant

The curve y = ax² + bx + c forms a parabola. Discriminant D = b² − 4ac determines whether the parabola cuts the X-axis at two points (D > 0), touches at one point (D = 0), or floats (D < 0).