Q5 of 23 Page 1

Solve Question:

A(5,4). B( - 3, - 2) and C(1, - 8) are the vertices of a triangle ABC. Find the equation of median AD and line parallel to AB passing through point C.


⇒ To find slope of AD we need to find D, which is midpoint of BC




Thus and


Finding equation by 2-point form






2y - 8 = 3x - 15


3x - 2y = 7 - - - equation of median


⇒ We have A(4,5) and B( - 3, - 2)


Finding equation by 2-point form





⇒ 4y - 16 = 3x - 15


⇒ 4y = 3x + 1



Let Equation parallel to AB passing through C


Y = mx + c


Since it is parallel to AB it will have same slope





⇒ C(1, - 8) must satisfy the equation






⇒ 4y = 3x - 25


⇒ 3x - 4y = 35


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