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RELATION AND FUNCTION - L7...

RELATION AND FUNCTION - L7

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ORGANIC L7

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A uniform thin rod AB of length L has linear mass density mu(x) = a + (bx)/(L) , where x is measured from A. If the CM of the rod lies at a distance of ((7)/(12)L) from A, then a and b are related as :_

Questions based on L5-L7

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

Relation And Functions

Let L be the set of all lines in XY= plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(-)2} Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4.

Let L be the set of all lines in XY -plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(2)}. Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4