Coordinate Geometry Experiment Lab

Based on NCERT Class 10 Chapter 7

Distance Formula

PQ = √[(x2 - x1)² + (y2 - y1)²]

P(, )

Q(, )

Live Graph

The dashed right-angle triangle shows how the distance formula works — the hypotenuse is the distance between P and Q.

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Section Formula (Internal)

P = ( (m1·x2 + m2·x1)/(m1+m2) , (m1·y2 + m2·y1)/(m1+m2) )

A(, )

B(, )

Ratio m1:m2 = :

Live Graph

Point P divides the line segment AB internally in the given ratio. Drag the ratio to see P move along the line.

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Midpoint Formula

M = ( (x1 + x2)/2 , (y1 + y2)/2 )

A(, )

and

B(, )

Live Graph

M is the exact center of the line segment AB. It splits AB into two equal halves.

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Collinearity Test

AB + BC = AC implies collinear

A(, )

B(, )

C(, )

Live Graph

Three points are collinear if they all lie on the same straight line. The test checks if AB + BC equals AC.

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