The minimum value of $3{\tan ^2}\theta + 12{\cot ^2}\theta $ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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The minimum value of

3{\tan ^2}\theta + 12{\cot ^2}\theta

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the minimum value of the expression

3{\tan ^2}\theta + 12{\cot ^2}\theta

is 12, which is not among the given options. This is found using AM-GM inequality.

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

{x^2},{b^2},{y^2}

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

A P

a, b

G P

a, b, c

\frac{3}{4}