Home
Class 12
MATHS
Let * be a binary operation on the set S...

Let * be a binary operation on the set S of all non-negative real numbers defined by `a**b= sqrt(a^(2)+b^(2))`. Find the identity elements in S with respect to *.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Short Answer Type Questions) |7 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Long Answer Type Questions) |6 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART IV : Question for Practice Part IV ( Long Answer Type Questions) |4 Videos

  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let ast be a binary operation on the set of real numbers, defined by a astb=frac[ab][5] , for all a,binR . Find the identity element.

Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b^(2)) find the identity element.

Let *be a binary operation defined on R, the set of all real numbers, by a*b = sqrt(a^(2)+b^(2)), AA a, b in R. Show that is associative on R

Let ast be a binary operation on the set of real numbers, defined by a astb=frac[ab][5] , for all a,binR . Find the inverse elements.

Let* is a binary operation on the set of all non-zero real numbers, given by a*b = (ab)/(5),AA a,b in R-{0) . Find the value of x, given that 2*(x*5) = 10.

Let * is a binary operation on the set of all non-zero real numbers, given by a**b=(ab)/(5) for all c, b in R -(0) . Find the value of x, given that 2**(x**5)=10 .

Let * be a binary operation on set of integer. I defined by a**b=2a+b-3 . Find the value of 3**4 .

Let * is binary operation on set Q of rational number defined as a**b=(ab)/(2) . Write the identity for *, if any.

If * is binary operation on set Q of rational numbers defined as a**b=(ab)/(5) . Write the identity for *, if any.

Let * be the binary operation defined on set 8 of rational numbers as a**b=a^(2)+b^(2), AA a, b in theta , then find sqrt(8**6) .