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If O be the origin and if coordinates o...

If O be the origin and if coordinates of any two points `Q_(1) and Q_(2)` be `(x_(1),y_(1)) and (x_(2),y_(2))` respectively, prove that `overline(OQ_(1))* overline(OQ_(2)) cos angle Q_(1)OQ_(2)=x_(1)x_(2)+y_(1)+y_(2)`.

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Knowledge Check

  • If X_(1)=(x_(1),y_(1) and (x_(2)=(x_(2),y_(2)) are two optimal solution of a L.P.P then

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    `lambdax_(1)+(1-lambda)x_(2),lambda epsilon R` is also an optimal solution
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    `lambdax_(1)+(1-lambda)x_(2),0le1` is also an optimal solution
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    D
    if an L.P.P has two optimal solutoins then it has infinitely many solution
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