Home
Class 12
MATHS
If the binary operation on ZZ is defined...

If the binary operation on `ZZ` is defined by `a**b=a^(2)-b^(2)+ab+4,` then the value of `(2**3)**4` is --

A

233

B

33

C

55

D

-55

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3(Very Short Answer Type Questions)|22 Videos

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3 (Short Answer Type Questions)|40 Videos

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

QQ^(+) denote the set of all positive raional numbers. If the binary operation @ on QQ^(+) is defined as a@b=(ab)/(2) , then the inverse of 3 is---

If ** be the binary operation on the set ZZ of all integers, defined by a**b=a+3b^(2) , find 2**4.

If the binary operation ** on the set ZZ is defined by a**b=a+b-5 , then the identity element with respect to ** is K . Find the value of K .

Let ** a binary operation on NN given by a**b=H.C.F (a,b) for all a,binNN , write the value of 22**4

Let be binary operation on the set R defined by a*b = a+b+ab, a, binR . solve equation :2*(2*x)=7

The binary operation * define on N by a*b = a+b+ab for all a,binN is

The binary operation ** defined on NN by a**b=a+b+ab for all a,binNN is--

(I) Let ** be a binary operation defined by a**b=2a+b-3. Find 3**4. (ii) let ** be a binary operation on RR-{-1} , defined by a**b=(1)/(b+1) for all a,binRR-{-1} Show that ** is neither commutative nor associative. (iii) Let ** be a binary operation on the set QQ of all raional numbers, defined as a**b=(2a-b^(2)) for all a,binQQ . Find 3**5 and 5**3 . Is 3**5=5**3?

On the set QQ^(+) of all positive rational numbers if the binary operation ** is defined by a**b=(1)/(4)ab for all a,binQQ^(+) , find the identity element in QQ^(+) . Also prove that any element in QQ^(+) is invertible.

A binary operation @ on QQ-{1} is defined by a**b=a+b-ab for all a,binQQ-{1}. Prove that every element of QQ-{1} is invertible.