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The minimum value of 2 sin ^(2) theta + ...

The minimum value of `2 sin ^(2) theta + 3 cos ^(2) theta` is

A

(a) 2

B

(b) 3

C

(c) 4

D

(d) 1

Text Solution

Verified by Experts

The correct Answer is:
A
`a sin ^(2) theta + b cos ^(2) theta `
यदि `agt b` हो, तो :
न्यूनतम मान = b
महत्तम मान =a
`therefore 2 sin ^(2) theta + 3 cos ^(2) theta` का न्यूनतम मान = 2
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