The line is parallel to the line segment joining and

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

Problem

The line 3x+y−5=03x + y - 5 = 0 is parallel to the line segment joining A(−2, 1)A(-2,\,1) and BB. The midpoint of ABAB lies on the line 2x−y+3=02x - y + 3 = 0. Which of the following is BB? (a) (25, 95)\left(\dfrac{2}{5},\,\dfrac{9}{5}\right) (b) (−65, −75)\left(-\dfrac{6}{5},\,-\dfrac{7}{5}\right) (c) (−35, −165)\left(-\dfrac{3}{5},\,-\dfrac{16}{5}\right) (d) (2, −1)(2,\,-1)

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