Home
Class 12
MATHS
A binary operation ** is defined on Rxx...

A binary operation `**` is defined on `RxxR` by `(a, b) ** (c,d)=(ac, bc + d),` where a, b, c, d `inR`. Find `(2,3) ** (1,-2)`.

Text Solution

Verified by Experts

The correct Answer is:
(2,1)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS )|8 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION V) |6 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

A binary composition '*' is defined on R xx R by (a,b) * (c,d) = (ac, bc+d), wherea,b,c, d in R. Find (2,3)* (1,-2)

Let A = N xx N and ∗ be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d) Show that ∗ is commutative and associative. Find the identity element for ∗ on A, if any.

Knowledge Check

  • Consider a binary operation '*' on N defined as a xx b =a^(3) + b^(3) . Then

    A
    operation '*' is both associative anc commutative
    B
    operation '*' is commutative but nol associative
    C
    operation '*' is associative but nol commutative
    D
    operation '*' is neither commutative not associative

  • Consider a binary operation '*' on N defined as a xx b =a^(3) + b^(3) . Then

    A
    operation '*' is both associative anc commutative
    B
    operation '*' is commutative but nol associative
    C
    operation '*' is associative but nol commutative
    D
    operation '*' is neither commutative not associative

    • Similar Questions

    Explore conceptually related problems

    Let A = Q xx Q , where Q is the set of all natural involved and * be the binary operation on A defined by (a,b)* (c,d) =(ac,b+ad) for (a,b), (c,d) in A. Then find Invertible elements of A, and hence write the inverse of elements (5,3) and (1/2, 4)

    Let A = Q xx Q , where Q is the set of all rational numbers and * be a binary operaton on A defined by (a,b) * (c,d) = (ac, ad+b) for all (a,b), (c,d) in A. Then find the identify element of * in A.

    If a binary operation is defined by a ** b = a^b , then 3 ** 2 is equal to :

    If a binary operation is defined by a ** b= a^b , then 2 ** 3 is equal to :

    If a binary operation is defined by a ** b= a^b , then 2 ** 2 is equal to :

    Consider a binary operation * on N defined as a* b = a^3 + b^3 . Then

    Home
    Profile