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Line through a given point cutting off a triangle of given area with the axes

This type of question, asked 2 times: 3 May 2023 S1, 10 May 2023 S1. All 2 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    104
    The number of possible distinct straight lines passing through (2,3)(2,3) and forming a triangle with coordinate axes whose area is 12 sq. units are

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  2. Question 2

    10 May 2023 S1

    105
    Let a line intersect the co-ordinate axes in points A and B such that the area of the triangle OAB is 12 sq. units. If the line passes through the point (2,3), then the equation of the line is

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