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The equation of the line segment AB is y = x. If A and B lie on the same side of the line mirror 2x – y = 1, the image of AB has the equation Options x + y = 2 8x + y = 9 7x – y = 6 None of these

The equation of the line segment AB is y = x. If A and B lie on the same side of the line mirror 2x – y = 1, the image of AB has the equation

Options

x + y = 2
8x + y = 9
7x – y = 6
None of these

Grade:

1 Answers

Alekhya goud
36 Points
8 years ago
The answer is #3: 7x - y = 6.

The condition implies that the mirror m: 2x - y = 1 (slope 2) is an angle bisector of the angle between the line AB: y = x (slope 1) and its image - the line A'B': y = kx + n (coefficients k and n to be determined), or
∡(AB, m) = ∡(m, A'B') /in that order - both angles to be measured counterclockwise!/
Now using the slopes

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