Coordinate Geometry

Mathematics

Mathematics

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(2, 3), (4, 1)

Let the given points be A(2, 3) and B(4, 1).

We know that the distance between two points A(x_{1}, y_{1}) and B(x_{2}, y_{2}) is given by

AB =

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Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.

Let the given points be A(0, 0) and B(36, 15) then,

Yes, we can find the distance between the two towns A and B discussed in section 7.2 and this distance = 39 km.

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Find the distance between the following pairs of points :

(a, b), (– a, – b)

(a, b), (– a, – b)

Let the given points be A (a, b) and B(-a, -b)

We know that the distance between two points A (a, b) and B(-a, -b) is given by

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Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear

Let the given points be A( 1, 5), B(2, 3) and C(-2, -11). Then

Here, we see that AB + BC ≠ AC, BC + AC ≠ AB and AB + AC ≠ BC.

Hence, the points A, B and C are not collinear.

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