The line
meets the x -axis at A and y -axis at B . The line through (5, 5) perpendicular to
meets the x - axis , y axis and the
at C , D and E respectively. If O is the origin of coordinates, then the area of
is
Text Solution
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Here O is the point
. The line
meets the y -axis at B and so B is the point (0,4). The equation of any line perpendicular to the line
and passes through (5, 5) is
......(i)
The line (i) meets the x- axis at C and so co-ordinates of C are
Similarly the coordinates of E are (3, 2) by solving the line AB and (i). Thus O (0, 0),
,
and B (0, 4). Now the area of figure
area of
+ area of
units.
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