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Maths Question
Question 19

Find the inverse of P under the binary operation defined by $p*q=p+q-pq$where p and q are real numbers and zero is the identity

Question 20

A binary operation * is defined by a* b =ab, If  a * 2 =2 – a. Find the possible value of a

Question 10

Θ

K

L

M

K

L

M

K

L

M

K

L

M

K

L

M

The identity element with respect to the multiplication shown in the table above is

Question 18

An operation *is defined on the set of real numbers by a * b  = a + b + 1. If the identity element is –1 . Find the inverse of the element 2 under the operation

Question 23

The binary operation $*$ is defined on the set of integers p and q by $p*q=pq+p+q,$find $2*(3*4)$

Question 34

If the operation * on the set of integer is defined by $p*q=\sqrt{pq}$, find the value of $4*(8*32)$

Question 45

An operation * is defined on the set of real numbers by $a*b=ab+2(a+b+1)$find the identity element

Question 34

A binary operation * on the set of rational number is defined as $x*y=\frac{{{x}^{2}}-{{y}^{2}}}{2xy}$ find –5*3

Question 39

The binary operation defined on the set of real number is such that $x\oplus y=\frac{xy}{6}$for all $x,y\in \mathbb{R}$. Find the inverse of 20 under the operation when the identity element is 6

Question 20

A binary operation $\oplus $ on real numbers is defined by $x\oplus y=xy+x+y$for any two real numbers x and y . The value of $(-\tfrac{3}{4})\oplus 6$ is

Question 21

Question 21
A binary operation $\Delta $is defined by $a\Delta b=a+b+1$for any real number a and b, Find the inverse of the real number 7 under the operation$\Delta $, if the identity element is -1

Question 21

A binary operation * defined on the set of positive integer is such that that $x*y=2x-3y+2$ for all positive integers x and y. The binary operation is

Question 22

A binary operation on the set of real numbers excluding –1 is such  that, for all m, n $\varepsilon $ R, $m\Delta n=m+n+mn$. Find the identity element of the operation

Question 20

If $m*n=n-(m+2)$for any real number m and n find the value of $3*(-5)$

Question 21

A binary operation $\otimes $defined on the set of integers is such that m$\otimes $n = m + n + mn for all integers m and n. Find the inverse of  –5 under this operation, if the identity element is 0

Question 23

If $x*y=x+{{y}^{2}}$, find the value of $(2*3)*5$

Question 23

A binary operation $\oplus $on real number us defined by $x\oplus y=xy+x+y$for two real numbers x and y. Find the value of $3\oplus -\tfrac{2}{3}$

Question 21

The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$

Question 22

The binary operation * is defined on the set of real numbers is defined by $m*n=\frac{mn}{2}$for all$m,n\in \mathbb{R}$. If the identity element is 2. Find the inverse of –5 .

Question 21

$\begin{align}  & \text{If a binary operation }*\text{ is defined by   }x*y=x+2y,\text{ find }2*(3*4) \\ & (A)\text{ }26\text{  }(B)\text{ }24\text{ }(C)\text{ }16\text{  }(D)\text{ }14 \\\end{align}$

Question 21

A binary operation * is defined by $x*y={{x}^{y}}$ . If $x*2=12-x$ find the possible value of x

Question 31

The binary operation * is defined $x*y=xy-y-x$ for real values of x and y. If $x*3=2*x$, find the value of x