MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Global Maxima

If a>b maxi...

Question

If $a > b$ maximum value of $a {sin}^{2} x + b {cos}^{2} x$

A

a

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

a+b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\sqrt{a^{2} + b^{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A a
$f (x) = (a - b) s i n^{2} (x) + b$
max $f (x) = (a - b) + b$ (when $s i n x = 1)$
$f_{m a x} (x) = a$

Suggest Corrections

thumbs-up

0

Similar questions

a {sin}^{2} x + b {cos}^{2} x = c, b {sin}^{2} y + a {cos}^{2} y = d

a tan x = b tan y

\frac{a^{2}}{b^{2}} = \frac{(d - a) (c - a)}{(b - c) (b - d)}

.

a {sin}^{2} x + b {cos}^{2} x = c, b {sin}^{2} y + a {cos}^{2} y = d

a tan x = b tan y,

\frac{a^{2}}{b^{2}}

\frac{s i n x}{a} = \frac{c o s x}{b}

a s i n 2 x + b c o s 2 x = b .

\tan x = \frac{a}{b}

b \cos 2 x + a \sin 2 x

is equal to

(a) a

(b) b

(c)

\frac{a}{b}

\frac{b}{a}

| \to A \times \to B | = \sqrt{3} \to A . \to B

, then value of

| \to A + \to B |

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Extrema

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon