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Statement-1: In a !ABC, if 2a^(2)+4b^(...

Statement-1: In a `!ABC`, if
`2a^(2)+4b^(2)+c^(2)=4ab+2ac`, then `cosA=1/4`
Statement-2: In a `DeltaA BC` if `cosA=1/4`, then
`(a+b+c)(b+c-a)=5/2bc`

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement- 2 is True.

Text Solution

AI Generated Solution

To solve the given problem, we will analyze both statements step by step. ### Step 1: Analyze Statement 1 We are given the equation: \[ 2a^2 + 4b^2 + c^2 = 4ab + 2ac \] **Rearranging the equation:** 1. Move all terms to one side: ...
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