Let * be a binary operation on Z defined by $x^* y=x^2+y^2+x y ; x, y \in Z$. The value of $\left[\left(1^* 2\right)+\left(0^* 3\right)\right]^2$ is
Register

Let * be a binary operation on Z defined by $x^* y=x^2+y^2+x y ; x, y \in Z$. The value of $\left[\left(1^* 2\right)+\left(0^* 3\right)\right]^2$ is

Let * be a binary operation on Z defined by $x^* y=x^2+y^2+x y ; x, y \in Z$. The value of $\left[\left(1^* 2\right)+\left(0^* 3\right)\right]^2$ is
78 views
0 Votes
0 Votes
Let * be a binary operation on $Z$ defined by $x^* y=x^2+y^2+x y ; x, y \in Z$. The value of $\left[\left(1^* 2\right)+\left(0^* 3\right)\right]^2$ is

(A) 16

(B) 19

(C) 361

(D) 256
User Avatar
by

1 Answer

0 Votes
0 Votes
 
Best answer

SOLUTION : $1 * 2=1+4+2=7$

$0 * 3=0+9+0=9 $

$(1 * 2)+(0 * 3)=16$

Above Correct Answer is Option C.

User Avatar
by

RELATED DOUBTS

User Avatar
LEELADHAR YADAV Asked Aug 22, 2023
39 views
Consider the binary operation * on the set $\{1,2,3,4,5\}$ defined by $a^* b=\min \{a, b\}$. Write the operation table of the operation *.
LEELADHAR YADAV Asked Aug 22, 2023
by LEELADHAR YADAV
0 Answers
0 Votes
0 Votes
39 Views
User Avatar
Chandan Asked Sep 12, 2023
38 views
Show that the binary operation * defined by a*b= ab+1 on Q is not associative.
Chandan Asked Sep 12, 2023
by Chandan
1 Answer
0 Votes
0 Votes
38 Views
ASK DOUBTS
Peddia is an Online Question and Answer Website, That Helps You To Prepare India's All States Boards & Competitive Exams Like IIT-JEE, NEET, AIIMS, AIPMT, SSC, BANKING, BSEB, UP Board, RBSE, HPBOSE, MPBSE, CBSE & Other General Exams.
If You Have Any Query/Suggestion Regarding This Website or Post, Please Contact Us On : [email protected]

CATEGORIES

POPULAR TAGS
©2023 - ALL RIGHTS RESERVED BY PEDDIA
Link Copied!