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Question: Answered & Verified by Expert
If the operation \( \oplus \) is defined by \( a \oplus b=a^{2}+b^{2} \) for all real numbers 'a' and 'b', then \( (2 \oplus 3) \oplus \)
\( 4= \)
MathematicsTrigonometric Ratios & IdentitiesKCETKCET 2015
Options:
  • A \( 181 \)
  • B \( 184 \)
  • C \( 182 \)
  • D \( 185 \)
Solution:
2371 Upvotes Verified Answer
The correct answer is: \( 185 \)
Given that, $a \oplus b=a^{2}+b^{2}$
Now, $(2 \oplus 3) \oplus 4$
$(2 \oplus 3)=2^{2}+3^{2}=13$
$(13 \oplus 4)=13^{2}+4^{2}=185$

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