# If θ is the angle which the straight line joining the points (x1, y1) and (x2, y2) subtends at the origin, prove that and .

To prove:

and

Assuming:

A (x1, y1) and B (x2, y2) be the given points and O be the origin.

Explanation:

Slope of OA = m1 = y1x1

Slope of OB = m2 = y2x2

It is given that θ is the angle between lines OA and OB.

Now,

As we know that

Hence proved.

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