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Show that the points A(a,b), B(a+alpha+ b,+ beta), C(a+alpha+ p, b+beta+ q) and D(a+p,b+q) when joined in order, form a parallelogram. Find the cooditions for which the paralleogram is a(i)rectangle (ii) rhombus. |
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Answer» <P> (ii) `alpha^(2)+ beta^(2)=p^(2)+q^(2)` |
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