Class 11

07. Progressions question bank (Maths)

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Q1.

Given that \(x + y + z = 15\) when \(a, x, y, z, b\) are in A.P. and \(\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{5}{3}\) when \(a, x, y, z, b\) are in H.P. Then

(A)

G.M. of \(a\) and \(b\) is 3

(B)

one possible value of \((a + 2b)\) is 11

(C)

A.M. of \(a\) and \(b\) is 5

(D)

H.M. of \(a\) and \(b\) is \(\frac{9}{5}\)

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Q2.

If \(x > 1, y > 1, z > 1\) and \(x, y, z\) are in G.P., then \((\ln x^2)^{-1}, (\ln xy)^{-1}, (\ln xz)^{-1}\) are in

(A)

A.P.

(B)

G.P.

(C)

H.P.

(D)

none of these

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