If is such that the segment joining the points and is perpendicular to the line

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

k

is such that the segment joining the points

(k,2k)

and

(3k+1,7)

is perpendicular to the line

5x+4y-3=0

, then

k

equals: (a)

\dfrac{31}{16}

(b)

\dfrac{18}{31}

(c)

\dfrac{31}{18}

(d)

\dfrac{23}{18}