The binary operation *: R × R → R is defined as a * b = 2a + b. F… - Vidyadip

Question

The binary operation *: R × R → R is defined as a * b = 2a + b. Find (2 * 3) * 4.

✓

Answer

It is given that, a * b = 2a + b
Now,
(2 * 3) = 2 × 2 + 3
= 4 + 3
= 7
(2 * 3) * 4 = 7 * 4 = 2 × 7 + 4
= 14 + 4
= 18

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Binary Operations→Binary Operations — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find expected value and variance of X, where X is the number obtained on the uppermost face when a fair die is thrown.

Let the relation R be defined on N by aRb if 2a + 3b = 30. Then write R as a set of ordered pairs.

Solve graphically: x ≤ 0 and y ≥ 0

Find the value of $\lambda,$ non-zero scalar, if $\lambda\begin{bmatrix}1&0&2\\3&4&5\end{bmatrix}+2\begin{bmatrix}1&2&3\\-1&-3&2\end{bmatrix}=\begin{bmatrix}4&4&10\\4&2&14\end{bmatrix}$

Evaluate the following integrals:$\int\limits^{\frac{\pi}{2}}_0\sin^{2}\text{x dx}$

Write the value of $\cos^{-1}\Big(\cos\frac{5\pi}{4}\Big).$

Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency. (p ∧ ~q) ↔ (p → q)

Diffrentiate the following w.r.t.x

$\sec \left[\tan \left(x^4+4\right)\right]$

If $\vec{\text{a}}$ is a unit vector such that $\vec{\text{a}}\times\hat{\text{i}}=\hat{\text{j}},$ find $\vec{\text{a}}.\hat{\text{i}}.$

If $\vec{\text{a}}=2\hat{\text{i}}+\hat{\text{k}},\vec{\text{b}}=\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}},$ find the magnitude of $\vec{\text{a}}\times\vec{\text{b}}.$