KCET · Maths · Trigonometric Ratios & Identities
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 \( 182 \)
- D \( 185 \)
Answer & Solution
Correct Answer
(D) \( 185 \)
Step-by-step Solution
Detailed explanation
Given that, \(a \oplus b=a^{2}+b^{2}\)
Now, \((2 \oplus 3) \oplus 4\)
\((2 \oplus 3)=2^{2}+3^{2}=13\)
\((13 \oplus 4)=13^{2}+4^{2}=185\)
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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