pair of straight line

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$Q:$\Rightarrow$ If the lines $ax^2+2hxy+by^2=0$ be two sides of a parallelogram and the line $lx+my+n=0$ be one of its diagonal , show that the eqn. of the other diagonal is $y(bl-hm)=x(am-hl)$

#Mathematics #Co-ordinate Geometry

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qwerty ·2010-11-20 23:53:37

find pt of intersection of the given diagonal with the pair of lines , that will be the coordinates of opposite vertices, now find midpt of these pts , this will also be the midpt of both the diagonals , now one end of the other diagonal has to be origin , so now u will get the other end of the diagonal as u kno the midpt of this diagonal ,and hence u wil get the eqn of this diagonal

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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pair of straight line

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