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ICSE Class 10 Answered

Find the equations of the diagonal of a rectangle whose sides are x+1=0,x-4=0,y+1=0 and y-2=0.
Asked by Ananya | 20 Feb, 2018, 02:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style Consider comma straight x minus 1 equals 0 rightwards double arrow straight x equals 1 similarly space we space get space straight x equals 4 comma space straight y equals negative 1 comma space straight y equals 2 Points space are space straight A left parenthesis 1 comma space minus 1 right parenthesis comma space straight B left parenthesis 1 comma 2 right parenthesis comma space straight C left parenthesis 4 comma negative 1 right parenthesis comma space straight D left parenthesis 4 comma 2 right parenthesis Diagonal space AD colon straight A left parenthesis 1 comma space minus 1 right parenthesis space and space straight D left parenthesis 4 comma 2 right parenthesis fraction numerator straight y minus left parenthesis negative 1 right parenthesis over denominator straight x minus 1 end fraction equals fraction numerator 2 minus left parenthesis negative 1 right parenthesis over denominator 4 minus 1 end fraction fraction numerator straight y plus 1 over denominator straight x minus 1 end fraction equals 3 over 3 straight y plus 1 equals straight x minus 1 straight x minus straight y minus 2 equals 0 Diagonal space BC colon straight B left parenthesis 1 comma 2 right parenthesis comma space straight C left parenthesis 4 comma negative 1 right parenthesis fraction numerator straight y minus 2 over denominator straight x minus 1 end fraction equals fraction numerator negative 1 minus 2 over denominator 4 minus 1 end fraction fraction numerator straight y minus 2 over denominator straight x minus 1 end fraction equals negative 1 straight y minus 2 equals negative straight x plus 1 straight x plus straight y minus 3 equals 0 end style
Answered by Sneha shidid | 20 Feb, 2018, 03:14: PM

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