Q. 1 D4.5( 4 Votes )

# Find the equation of the straight lines passing through the following pair of points:(a, b) and (a + b, a - b)

Given: ( x1,y1) = (a,b), ( x2, y2) = (a+b, a-b)

Concept Used:

The equation of the line passing through the two points ( x1, y1) and ( x2, y2).

To find:

The equation of the straight line passing through a pair of points.

Explanation:

So, the equation of the line passing through the two points is

The formula used:

by – b2 = (a – 2b)x – a2 + 2ab

(a – 2b)x – by + b2 + 2ab – a2 = 0

Hence, the equation of line is (a – 2b)x – by + b2 + 2ab – a2 = 0

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