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Q.

The perpendicular distance from 1,3  to the line passing through the point P2,1 where the point P2,1 bisects the portion of the line intercepted between the axes.

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a

154

b

45

c

35

d

355

answer is D.

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Detailed Solution

The equation of the line whose portion intercepted between the axes bisected by x1,y1 is xx1+yy1=2 Hence the equation of the line whose portion intercepted between the axes at P(2,1) is x2+y=2 Rewrite the equation as x+2y−4=0 The perpendicular distance from a point Px1,y1 to the line ax+by+c=0 is ax1+by1+ca2+b2 The perpendicular distance from a point (1,3) to the line x+2y−4=0 is 1+23−41+4=35=355
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The perpendicular distance from 1,3  to the line passing through the point P2,1 where the point P2,1 bisects the portion of the line intercepted between the axes.