SATHEE: Quantitative Aptitude Ques 1043

Quantitative Aptitude Ques 1043

Question: The minimum value of $ 2{{\sin }^{2}}\theta +3{{\cos }^{2}}\theta $ is

Options:

A) 0

B) $ 3 $

C) $ 2 $

D) $ 1 $

Show Answer

Answer:

Correct Answer: B

Solution:

$ 2{{\sin }^{2}}\theta +3{{\cos }^{2}}\theta =2{{\sin }^{2}}\theta +2{{\cos }^{2}}\theta +{{\cos }^{2}}\theta $ $ =2({{\sin }^{2}}\theta +{{\cos }^{2}}\theta )+{{\cos }^{2}}\theta $ $ =2+{{\cos }^{2}}\theta $ $ \because $ Minimum value of $ \theta =-1 $

$ \therefore $ Required minimum value $ =2+{{(-1)}^{2}}=2+1=3 $

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Quantitative Aptitude Ques 1043

Question: The minimum value of $ 2{{\sin }^{2}}\theta +3{{\cos }^{2}}\theta $ is

Options:

Answer:

Solution:

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