In the x-y coordinate axis, a perpendicular line AD is drawn from the point A (2,4) on the line x + y = 10 and it is extended till E, such that AD = DE. Find the co-ordinate of E?
A. (-6,-8)
B. (55/13, 44/13)
C. (6, 8)
D. (11, 5)
E. (15,15)
OA C
Source: e-GMAT
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In the x-y coordinate axis, a perpendicular line AD is drawn from the point A (2,4) on the line x + y = 10 and it is
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BTGmoderatorDC
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The equation of line perpendicular to \(x + y = 10\) is \(y−x−k=0\).BTGmoderatorDC wrote: ↑Fri Jan 17, 2020 4:16 pmIn the x-y coordinate axis, a perpendicular line AD is drawn from the point A (2,4) on the line x + y = 10 and it is extended till E, such that AD = DE. Find the co-ordinate of E?
A. (-6,-8)
B. (55/13, 44/13)
C. (6, 8)
D. (11, 5)
E. (15,15)
OA C
Source: e-GMAT
As point A lies on \(y−x−k=0\), point A must satisfy its equation=
\(4-2-k=0\) or \(k=2\).
Hence, the equation of the line perpendicular to \(x + y = 10\) is \(y−x=2\).
We can notice that \(y\) coordinate of any point on this line is 2 units greater than \(x\) coordinate of that point.
Only option __C__ satisfies our condition.
