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Find-the-equation-on-a-line-joining-the-points-A-2x-4-B-x-3-and-C-4-3-




Question Number 38878 by Rio Mike last updated on 30/Jun/18
Find the equation on a line joining  the points A(2x,4),B(x,3) and   C(4,3)
FindtheequationonalinejoiningthepointsA(2x,4),B(x,3)andC(4,3)
Answered by $@ty@m last updated on 01/Jul/18
Eqn. of line passing through  A & B is:  y′−4=(1/x)(x′−2x)  ⇒x(y′−4)=(x′−2x) ...(1)  It passes through C  ∴x(3−4)=4−2x  ⇒−x=4−2x  ⇒x=4  Substituting in (1)  4(y′−4)=x′−8  ⇒4y^′ −16=x′−8  ⇒x′−4y^′ +8=0   or x−4y+8=0
Eqn.oflinepassingthroughA&Bis:y4=1x(x2x)x(y4)=(x2x)(1)ItpassesthroughCx(34)=42xx=42xx=4Substitutingin(1)4(y4)=x84y16=x8x4y+8=0orx4y+8=0

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