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Question

Find the co-ordinates of the foot of the perpendicular drawn from the point(2,3)to the line y=3x+4

A
(110,3710)
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B
(110,3710)
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C
(110,3710)
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D
(110,3710)
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Solution

The correct option is D (110,3710)
Equation of given line is y=3x+4
Let Q(x1,y1) be the foot of the perpendicular on the line.
y1=3x1+4 ......(i)
Slope of given line is 3.
Slope of perpendicular PQ=13
y13x12=13
3y1=x1+11 .....(ii)
Solving (i) and (ii), we get
x1=110,y1=3710

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