SSC CGL 23 Aug 2021 Shift 1 Paper

Question : 64 of 100

Marks: +1, -0

x

is a real quantity, what is the minimum value of

(25 \cos ^{2} x+9 \sec ^{2} x) ?

Solution:

a

and

b

both are positive then minimum value of

a \sec ^{2} θ+b \cos ^{2} θ

=2 √{a b}

here,

a=9, b=25

∴

minimum value

=2 √{25 × 9}=2 × 5 × 3=30

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