English

If a * B = A2 + B2, Then the Value of (4 * 5) * 3 is (A) (42 + 52) + 32 (B) (4 + 5)2 + 32 (C) 412 + 32 (D) (4 + 5 + 3)2 - Mathematics

Advertisements
Advertisements

Question

If a * b = a2 + b2, then the value of (4 * 5) * 3 is _____________ .

Options

  • (42 + 52) + 32

  • (4 + 5)2 + 32

  • 412 + 32

  • (4 + 5 + 3)2

MCQ
Advertisements

Solution

\[\left( {41}^2 + 3^2 \right)\] 

Given: a * b = a2 + b2

\[\left( 4 * 5 \right) * 3 = \left( 4^2 + 5^2 \right) * 3\]
                  \[ = \left( 4^2 + 5^2 \right)^2 + 3^2 \]
                   \[ = {41}^2 + 3^2\]

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Binary Operations - Exercise 3.7 [Page 36]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 3 Binary Operations
Exercise 3.7 | Q 1 | Page 36
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×