Find the maximum and minimum value of 4 tan2 θ + 16 cot2 θ.
Answer
Correct Answer : a ) ∞, 16
Explanation :According to the question
We know that,
Minimum value of atan2θ+ bcot2θ = 2√a√b
And maximum value of atan2θ + bcot2θ = ∞
⇒Minimum value of 4tan2θ+16cot2θ=2*√4*√16
⇒ 2 * 2 * 4
⇒ 16
And maximum value of 4tan2θ + 16cot2θ = ∞
Thus, minimum and maximum value of 4tan2θ+16cot2θ is (16 and ∞).
Hence, (a) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.
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Shell
Noun: A hard rigid usually large covering of an animal.; The outside part of a fruit or seed.; Something like an external structure that resembles a shell.; A casing without substance.; The hard exterior of an egg.; A hard enclosing cover.
Verb: To take out of the shell.; To fall out of the shell.; To cast the external covering.; To gather shells from a beach.
"My mother collected shells at the beach."
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