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 *.

Text Solution

Verified by Experts

The correct Answer is:
0 is the identity element for binary operation.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions) |5 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (6 MARKS Questions) |2 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 (TOPIC TEST 1) |15 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos