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CBSE Class 10 Answered

The opposite vertices of a square are (-1,2) and (3,2). Find the coordinates of the other two vertices. {Please solve this problem in minimum steps and not like give on ToppperLearning NCERT Solutions.}
Asked by piyushmalik024 | 22 Jul, 2019, 09:44: PM
answered-by-expert Expert Answer
For square ABCD, suppose A(-1, 2) and C(3, 2)
Let a be the length of the side of a square
AC is a diagonal
T h e r e f o r e comma space A C equals square root of 2 a rightwards double arrow square root of left parenthesis 3 plus 1 right parenthesis squared plus left parenthesis 2 minus 2 right parenthesis squared end root equals square root of 2 a rightwards double arrow square root of 2 a equals 4 rightwards double arrow a equals 2 square root of 2 L e t space B left parenthesis x comma y right parenthesis A B equals B C left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared x equals 1 A B equals a equals 2 square root of 2 left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 4 open parentheses y minus 2 close parentheses squared equals 4 y minus 2 equals plus-or-minus 2 y equals 0 comma space 4
Answered by Renu Varma | 23 Jul, 2019, 09:41: AM

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