Let L denote the line in xy-plane with x and y intercept as 3 and 1 respectively.Then the image of

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Let L denote the line in xy-plane with x and y intercept as 3 and 1 respectively.Then the image of point (-1,-4) in this line is

This question is asked in JEE Main 2020 September attempt. This is a simple question which combines reflection property of a point on a line.This is also known as image of a point. This question can be solved in two ways.First method is by using formula for finding image of a point in a given line. In second method first we find equation of line perpendicular to given line and then we find foot of perpendicular by solving these two lines and then mid point formula is used to find image.
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