If-a-0-and-a-l-m-2-2blm-c-0-and-a-l-n-2-2bln-c-0-then-A-mn-l-2-c-a-B-lm-n-2-c-a-C-ln-m-2-c-a-D-mn-l-2-bc-a-

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 140965 by EnterUsername last updated on 14/May/21

If a≠0 and a(l+m)^2 +2blm+c=0 and a(l+n)^2 + 2bln+c=0, then (A) mn=l^2 +c/a (B) lm=n^2 +c/a (C) ln=m^2 +c/a (D) mn=l^2 +bc/a

$$\mathrm{If}\:{a}\neq\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{m}\right)^{\mathrm{2}} +\mathrm{2}{blm}+{c}=\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{n}\right)^{\mathrm{2}} + \\ $$$$\mathrm{2}{bln}+{c}=\mathrm{0},\:\mathrm{then} \\ $$$$\left(\mathrm{A}\right)\:{mn}={l}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:{lm}={n}^{\mathrm{2}} +{c}/{a} \\ $$$$\left(\mathrm{C}\right)\:{ln}={m}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:{mn}={l}^{\mathrm{2}} +{bc}/{a} \\ $$

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If-a-0-and-a-l-m-2-2blm-c-0-and-a-l-n-2-2bln-c-0-then-A-mn-l-2-c-a-B-lm-n-2-c-a-C-ln-m-2-c-a-D-mn-l-2-bc-a-

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