Find The Equation Of The Straight Line Bisecting The Segment Joining The Points (5, 3) And (4, 4) And Making An Angle Of 45o with The Positive Direction Of X-axis.

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Question

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4, 4) and making an angle of 45^o with the positive direction of x-axis.

easy

Solution

Correct option is

x – y – 1 = 0

Here, m = slope of the line = tan 45^o = 1.

Let A be the mid-point of (5, 3) and (4, 4). Then the coordinates of A are

Hence the required equation of the line is

or x – y – 1 = 0

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