Line passes through and has slope

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Line LL passes through A(2, −3)A(2,\,-3) and has slope −2-2. A point CC lies on LL such that the midpoint of ACAC lies on the line x+2y=4x + 2y = 4. Then CC is (a) (−2,5)(-2,5) (b) (−103, 233)\left(-\dfrac{10}{3},\,\dfrac{23}{3}\right) (c) (−103, −233)\left(-\dfrac{10}{3},\,-\dfrac{23}{3}\right) (d) (−23, 73)\left(-\dfrac{2}{3},\,\dfrac{7}{3}\right)

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