The maximum value of the function f(x) = 3 x + 4 x is - Vidyadip

MCQ

The maximum value of the function $f(x) = 3\sin x + 4\cos x$ is

A
$3$
B
$4$
✓
$5$
D
$7$

✓

Answer

Correct option: C.

$5$

c
(c) Maximum value of $f(x) = \sqrt {{3^2} + {4^2}} = 5$.

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 "MCQ" from 3. trignometrical ratios,functions and identities→3. trignometrical ratios,functions and identities — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A cricket team has $15$ members, of whom only $5$ can bowl. If the names of the $15$ members are put into a hat and $11$ drawn at random, then the chance of obtaining an eleven containing at least $3$ bowlers is

The largest term in the expansion of ${(3 + 2x)^{50}}$ where $x = \frac{1}{5}$ is

Distance between the lines $5x + 3y - 7 = 0$ and $15x + 9y + 14 = 0$ is

The number of real solutions of $\left|2 x-x^2-3\right|=1$ is:

If the constant term, in binomial expansion of $\left(2 x^{r}+\frac{1}{x^{2}}\right)^{10}$ is $180,$ than $r$ is equal to $......$

$\frac{{\sin \theta + \sin 2\theta }}{{1 + \cos \theta + \cos 2\theta }} = $

The sum of all the elements of the set $\{\alpha \in\{1,2, \ldots, 100\}: \operatorname{HCF}(\alpha, 24)=1\}$ is

If P(n): 3n < n!, n ϵ N, Then P(n) is true for:

In what ratio the line $y - x + 2 = 0$ divides the line joining the points $(3, -1)$ and $(8, 9)$

Choose the correct answer.$\left|z_1+z_2\right|=\left|z_1\right|+\left|z_2\right|$ is possible if: