The least value of 2x-252x is

The correct option is D 36 Y=cos #160; e c^ 2 x+25 ^ 2 #160; x (1) = ^ 2 #160; x+1+25+25+tan ^ 2 #160; x = ^ 2 #160; x+2 ...

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

Byju's Answer

Standard XII

Mathematics

AM,GM,HM Inequality

The least val...

Question

The least value of ${csc}^{2} x + 25 {sec}^{2} x$ is

0

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

26

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

28

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

36

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

Open in App

Solution

The correct option is D $36$
$\begin{matrix} Y = cos e c^{2} x + 25 {sec}^{2} x - (1) = {cot}^{2} x + 1 + 25 + 25 + {tan}^{2} x = {cot}^{2} x + 25 {tan}^{2} x + 26 = \frac{1}{{tan}^{2} x} + 25 {tan}^{2} x + 26 A . M ⩾ G . M \frac{\frac{1}{{tan}^{2} x} + 25 {tan}^{2} x}{2} ⩾ \sqrt{\frac{1}{{tan}^{2} x} \times 25 {tan}^{2} x} \frac{1}{{tan}^{2} x} + 25 {tan}^{2} x ⩾ 10 s o, Y = 10 + 26 = 36 \end{matrix}$

Suggest Corrections

Similar questions

Q. The marks obtained by

19

students of a class are

27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35

and

28

. Find the upper quartile.

Q. The value of

12 + 2^{8} \div 2^{6}

If $\frac{6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6}}{3^{6} + 3^{6} + 3^{6}} \div \frac{4^{6} + 4^{6} + 4^{6} + 4^{6}}{2^{6} + 2^{6}} = 2^{n}$ then find the value of $n$ .

Q. The marks obtained by

19

students of a class are

27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35

and

28

. Find the inter quartile.

Q. The least value of

{(x^{2} - 3)}^{3} + 28

is-

Join BYJU'S Learning Program

The least value of csc2x+25sec2x is

The correct option is D 36Y=cosec2x+25sec2x−(1)=cot2x+1+25+25+tan2x=cot2x+25tan2x+26=1tan2x+25tan2x+26A.M⩾G.M1tan2x+25tan2x2⩾√1tan2x×25tan2x1tan2x+25tan2x⩾10so,Y=10+26=36

The least value of ${csc}^{2} x + 25 {sec}^{2} x$ is