CBSE Class 11-science Answered

Is the point (- 2,-1),(1, 0), (X, 3)and(1, Y) from a parallelogram find the values of X and Y? Without using the distance formula

Asked by hemanttkumarr | 03 Oct, 2017, 08:27: PM

Expert Answer

begin mathsize 16px style Slope space of space the space line space joining space open parentheses negative 2 comma space minus 1 close parentheses comma space open parentheses 1 comma space 0 close parentheses space is fraction numerator 0 minus open parentheses negative 1 close parentheses over denominator 1 minus open parentheses negative 2 close parentheses end fraction equals 1 third Slope space of space the space line space joining space open parentheses straight X comma space 3 close parentheses space and space open parentheses 1 comma space straight Y close parentheses space is fraction numerator straight Y space minus space 3 over denominator 1 space minus space straight X end fraction As space given space points space form space straight a space parallelogram space Slope space of space the space line space joining space open parentheses negative 2 comma space minus 1 close parentheses comma space open parentheses 1 comma space 0 close parentheses space and space Slope space of space the space line space joining space open parentheses straight X comma space 3 close parentheses space and space open parentheses 1 comma space straight Y close parentheses space are space equal. fraction numerator straight Y space minus space 3 over denominator 1 space minus space straight X end fraction equals 1 third 3 straight Y space minus space 9 space equals space 1 space minus space straight X straight X space plus space 3 straight Y space minus space 10 space equals space 0............. left parenthesis straight i right parenthesis Slope space of space the space line space joining space left parenthesis 1 comma space 0 right parenthesis space and space left parenthesis 1 comma space straight Y right parenthesis space is space 1 over 0. Slope space of space the space line space joining space open parentheses negative 2 comma space minus 1 close parentheses space and space open parentheses straight X comma space 3 close parentheses fraction numerator negative 4 over denominator negative 2 space minus space straight X end fraction space equals fraction numerator 1 space over denominator 0 end fraction fraction numerator negative 2 space minus space straight X over denominator negative 4 end fraction equals 0 space minus 2 space minus space straight X space equals space 0 straight X space equals space minus 2 Put space it space in space the space equation space left parenthesis straight i right parenthesis space we space get straight Y space equals space 4 end style

Answered by Sneha shidid | 04 Oct, 2017, 10:23: AM

CBSE Class 11-science Answered

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CBSE Class 11-science Answered

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