If (a × b)/(c ) = (a2 + ab - b2)/ (c - a), for all natural numbers of

1.	If (a × b)/(c ) = (a2 + ab - b2)/ (c - a), for all natural numbers of a, b and c, then the value of (2 × 7)/(5) is:1. 3/312. - 31/33. - 3/314. 31/3
Answer» Correct Answer - Option 2 : - 31/3 Given: a = 2 b = 7 c = 5 Calculation: [(2)² + (2 × 7) – (7) ²]/ (5 - 2) ⇒ (4 + 14 – 49)/3 ⇒ (18 – 49)/3 ⇒ (-31/3) ∴ (2 × 7)/(5) = [(2)2 + (2 × 7) – (7) 2]/ (5 - 2) = - 31/3 The correct option is 2 i.e. - 31/3

If (a × b)/(c ) = (a2 + ab - b2)/ (c - a), for all natural numbers of a, b and c, then the value of (2 × 7)/(5) is:1. 3/312. - 31/33. - 3/314. 31/3

Answer» Correct Answer - Option 2 : - 31/3

Given:

a = 2

b = 7

c = 5

Calculation:

[(2)² + (2 × 7) – (7) ²]/ (5 - 2)

⇒ (4 + 14 – 49)/3

⇒ (18 – 49)/3

⇒ (-31/3)

∴ (2 × 7)/(5) = [(2)2 + (2 × 7) – (7) 2]/ (5 - 2) = - 31/3

The correct option is 2 i.e. - 31/3

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If (a × b)/(c ) = (a2 + ab - b2)/ (c - a), for all natural numbers of a, b and c, then the value of (2 × 7)/(5) is:1. 3/312. - 31/33. - 3/314. 31/3

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