a line is drawn through point (1,2) forming a right triangle with the positive x- and y-axes. The slope of the line forming the triangle of least area is...

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a line is drawn through point (1,2) forming a right triangle with the positive x- and y-axes. The slope of the line forming the triangle of least area is...

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Find the general equation of line passing through (1,2). Then find the intercepts cut by it on x and y axis. you can find the area of the triangle using this. The slope of the area will be 0 where it is minimum. You can find that by differentiating the equation :)

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