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If (alpha, beta) is the centroid of the ...

If `(alpha, beta)` is the centroid of the triangle, whose sides are `ax^(2)+2hxy+by^(2)=0 and lx+my=1`, then show that `(alpha)/(bl-hm)=(beta)/(am-hl)=(2)/(3(bl^(2)-2hlm+am^(2)))`

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The correct Answer is:
`(alpha)/(bl-hm)=(beta)/(am-hl)=(2)/(3(bl^(2)-2hlm+am^(2)))`.
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