If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root,
then
d/a ,e/b ,f/c
are in

Question

If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root, then d/a ,e/b ,f/c are in

Deepak Kumar Shringi · Answer

If the equationsax^2+2bx+c=0and dx^2+2ex+f=0have one and only one root common then(ae-bd)(bf-ec)=(cd-af) 2 use this and also replace b 2 =ac

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If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root, then d/a ,e/b ,f/c are in

If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root,
then
d/a ,e/b ,f/c
are in

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If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root, then d/a ,e/b ,f/c are in

If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root,thend/a ,e/b ,f/care in

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If a, b, c are in GP and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root,
then
d/a ,e/b ,f/c
are in