M=[{:(sin^(4)theta,-1-sin^(2)theta),(1+c...

`M=[{:(sin^(4)theta,-1-sin^(2)theta),(1+cos^(2)theta,cos^(4)theta):}]=alphaI+betaM^(-1)`
Where `alpha=alpha(theta)` and `beta=beta(theta)` ar real numbers and I is an identity matric of `2xx2`
if `alpha^()=` min of set `{alpha(theta):thetain[0.2pi)}`
and `beta^()=` min of set `{beta(theta):thetain[0.2pi)}`
Then value of `alpha^()+beta^()` is

A

`-37/16`

B

`-31/16`

C

`-29/16`

D

`-17/16`

Verified by Experts

The correct Answer is:

C

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