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If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx...

If `(a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0)` , then show that `a ,\ b ,\ c\ a n d\ d` are in G.P.

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To show that \( a, b, c, d \) are in geometric progression (G.P.), we start with the given equation: \[ \frac{a + bx}{a - bx} = \frac{b + cx}{b - cx} = \frac{c + dx}{c - dx} \] Let this common value be \( \lambda \). We will analyze each part of the equation separately. ...
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