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In the given figure `overline(DE)||overline(AC)`. Find the value of x. `(a) 1 (b) 2 (c) 3 (d) 4` |
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Answer» In `angle ABC`, `DE|| AC` `therefore (BD)/(DA)=(BE)/(EC)` (Basic proportionality theorem) ` rArr (2x+10)/(3x)=(x+7)/(2x)` `rArr2x(2x+10)=3x(x+7)` `rArr 4x^2+20x=3x^2+21x` `rArr x^2-x=0` `rArrx(x-1)=0` `rArrx-1=0` `rArrx=1` `therefore` Hence, option (a) is the correct answer. |
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