On the set Q of all ration numbers if a binary operation * is defined by a ^* b= ab 5 , prove that * is associative on Q.

Let a, b, c . Then, a ^* (b ^* c)=a ^* ( bc 5 ) = a ( bc 5 ) 5 = abc 25 (a ^* b) ^* c= ( ab 5 ) ^* c = ( ab 5 )c 5 = abc 25 Therefore, a * (b * c) = (a * b) * c, a, b, c Thus, * is associative on Q.

On the set Q of all ration numbers if a binary operation * is def…

Find the area bounded by the line $y=x, \mathrm{X}$ axis and the lines $x=-1$ and $x=4$.

→

Evaluate the following integrals:
$\int\text{e}^{\text{x}}(\cos\text{x}-\sin\text{x})\text{dx}$

→

Evaluate the following integrals:
$\int\frac{1}{\sqrt{\text{x}}}\Big(1+\frac{1}{\text{x}}\Big)\text{dx}$

→

Evaluate the following integrals:$\int\frac{\cos\text{x}}{\sqrt{\sin^2\text{x}-2\sin\text{x}-3}}\text{ dx}$

→

Diffrentiate the following w. r. t. x.
$\cot ^{-1}\left(\frac{\sin 3 x}{1+\cos 3 x}\right)$

→

Evaluate: $\int \frac{\sin (x+a)}{\cos (x-b)} d x$

→

Write converse, inverse and contrapositive of the following conditional statement: "If an angle is a right angle then its measure is $90^{\circ}$."

→

Integrate the following functions w. r. t. x

$\int \frac{1}{3+2 \sin 2 x+4 \cos 2 x} \cdot d x$

→

Evaluate: $\int_{-1}^1|5 x-3| d x$

→

If $x=a\left(t-\frac{1}{t}\right)$ and $y=b\left(t+\frac{1}{t}\right)$, then show that $\frac{d y}{d x}=\frac{b^2 x}{a^2 y}$.

→

Answer

Need a full question paper?

Explore more

Similar questions

Binary Operations — Maths STD 12 Science — Question

Answer

Need a full question paper?

Explore more

Similar questions