Q63 / 180 · KCET 2015 · Mathematics

If the operation \( \oplus \) is defined by \( a \oplus b=a^{2}+b^{2} \) for all real numbers 'a' and 'b', then \( (2 \oplus 3) \oplus \)
\( 4= \)

  • A
    \( 181 \)
  • B
    \( 184 \)
  • C
    \( 182 \)
  • Correct answer
    D
    \( 185 \)

Solution

Given that, $a \oplus b=a^{2}+b^{2}$ Now, $(2 \oplus 3) \oplus 4$ $(2 \oplus 3)=2^{2}+3^{2}=13$ $(13 \oplus 4)=13^{2}+4^{2}=185$

Hence, the correct answer is option: 'D'.

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