Question

Direction : If A @ B = A × (A + B)2 and C $ D = 3 × (C2 – D2) , then The value of (2 @ 3) $ 49 ..................A 297 B 279 C 277 D 299

Answer 1

Answer:

B 279 is your answer i think it is correct

Answer 2

$Given \: \blue{ A@B = A \times (A+B)^{2} } \: --(1)$

$and \: \green { C \ D = 3\times (C^{2} - D^{2} )}\: --(2)$

$i) 2@3 = 2 \times ( 2+3)^{2} \: [From \:(1) ]$

$= 2 \times 5^{2}$

$= 2 \times 25$

$= 50 \: --(3)$

$Now, Value \: of \: (2@3) \ 49$

$= 50 \ 49 \: [ From \: (3) ]$

$= 3 \times ( 50^{2} - 49^{2} ) \: [ From \: (3) ]$

$= 3 ( 50 + 49 ) (50-49 )$

$= 3 \times 99$

$= 297$

Therefore.,

$Option \: \pink{ ( A ) } \: is \: correct.$

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