A-b-c are three distinct non zero real numbers such that a2-b2-c2are in harmonic progression and a-b-c are in arithmetic progression- prove that 2b2-ac-0-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Finite and Infinite AP

a,b,c are thr...

Question

a,b,c are three distinct non zero real numbers such that a²,b²,c²are in harmonic progression and a,b,c are in arithmetic progression. prove that 2b²+ac=0.

Open in App

Solution

Suggest Corrections

Similar questions

Let a, b, c are non-zero real numbers such that \frac{1}{a}, \frac{1}{b}, \frac{1}{c} are in arithmetic progression and a, b, -2c are in geometric progression, then which of the following statement(s) must be true?

a^{2}, b^{2}

c^{2}

\frac{- c}{2}

Δ A B C

a^{2}, b^{2}, c^{2}

cot A, cot B, cot C

Let a, b, c are non-zero real numbers such that \frac{1}{a}, \frac{1}{b}, \frac{1}{c} are in arithmetic progression and a, b, -2c are in geometric progression, then which of the following statement(s) must be true?

a, b, c, d, x

(a^{2} + b^{2} + c^{2}) x^{2} - 2 (a b + b c + c d) x + (b^{2} + c^{2} + d^{2}) \leq 0

a, b, c, d

Join BYJU'S Learning Program