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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 \( (2 \oplus 3) \oplus \)
\( 4= \)

  1. A \( 181 \)
  2. B \( 184 \)
  3. C \( 182 \)
  4. D \( 185 \)
Verified Solution

Answer & Solution

Correct Answer

(D) \( 185 \)

Step-by-step Solution

Detailed explanation

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