Q.

The coordinates of the foot of the perpendicular from the point 2,3 on the line −y+3x+4=0 are given by

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a

37/10, −1/10

b

−1/10, 37/10

c

10, 37,−10

d

2/3,−1/3

answer is B.

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Detailed Solution

h-x1a=k-y1b=-(ax1+by1+c)a2+b2 (x1,y1)=(2,3);ax+by+c=3x-y+4Therefore, the foot is h=−1/10, k=37/10.
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The coordinates of the foot of the perpendicular from the point 2,3 on the line −y+3x+4=0 are given by