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प्रश्न
Q 2
बेरीज
उत्तर
Let `"a"^(1/"x")="b"^(1/"y")="c"^(1/"z")="k"`
`=> "a"^(1/"x")="k", "b"^(1/"y")="k"` and `"c"^(1/"z") = "k"`
⇒ a = kx, b = ky and c = kz
Given that a, b, c are in G.P.
⇒ b2 = ac
⇒ (ky)2 = kx x kz
⇒ k2y = kx+z
⇒ 2y = x + z
⇒ x, y, z are in A.P.
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Simple Applications - Geometric Progression
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