10. In ∆ABC, D and E are points AC and BC respectively such that DE || AB. If AD = 2x,
BE = 2x – 1, CD = x + 1 and CE = x – 1, then find the value of x.
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Step-by-step explanation:
here, ad/dc = be/ec
thus 2x/x+1 = 2x-1/x-1
therefore 2x(x-1) = (2x-1)(x+1)
hence , 2x^2 -2x =2x^2 +2x-x-1
by solving it further x = -1/3
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