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Let (a(1),b(1)) and (a(2),b(2)) are the...

Let `(a_(1),b_(1))` and `(a_(2),b_(2))` are the pair of real numbers such that 10,a,b,ab constitute an arithmetic progression. Then, the value of `((2a_(1)a_(2)+b_(1)b_(2))/(10))` is

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To solve the problem, we need to find the value of \(\frac{2a_1a_2 + b_1b_2}{10}\) given that \(10, a, b, ab\) are in an arithmetic progression (AP). Let's break it down step by step. ### Step 1: Understanding the Arithmetic Progression Since \(10, a, b, ab\) are in AP, we can use the property of AP that states the second term minus the first term is equal to the third term minus the second term, and so on. This gives us the following relationships: - \(a - 10 = b - a\) - \(b - a = ab - b\) ### Step 2: Setting Up the Equations ...
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