Q4 of 27 Page 74

Let *: R × R → R be a binary operation given by a * b = a + 4b2. Then, compute
( - 5) * (2 * 0).

To find: ( - 5)*(2*0)


Given: a*b = a + 4b2


⇒ (2*0) = 2 + 4 × 02 = 2


Now ( - 5)*2 = - 5 + 4 × 22 = - 5 + 16 = 11


More from this chapter

All 27 →
2

The binary operation * on R is defined by a * b = 2a + b. Find (2 * 3) * 4.

 3

Let * be a binary operation on the set of all nonzero real numbers, defined by Find the value of x given that
2 * (x * 5) = 10.

5

Let be a binary operation on the set Q of all rational numbers given as a * b = (2a - b)2 for all a, b ∈ Q. Find 3 * 5 and 5 * 3. Is 3 * 5 = 5 * 3?

 6

Let * be a binary operation on N given by a *b = 1 cm of a and b. Find the value of
20 * 16.

Is * (i) commutative, (ii) associative?