If maximum and minimum values of D=|(1,-...

If maximum and minimum values of `D=|(1,-cos theta,-1),(cos theta,1,-cos theta),(1,cos theta,1)|` are p and q respectively, then the value of `2p+3q` is ____

A

16

B

6

C

14

D

8

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If A = [( 1, cos theta , 1),( - cos theta ,1,cos theta ),( -1 , - cos theta ,1)] where 0 le theta le 2 pi then …..

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

Simplify (1-cos theta ) (1+cos theta ) (1+ cot ^(2) theta) .

Find the minimum value of sec^2 theta + cos^2 theta + 2

If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 sin^2theta + 2 , is

Prove that, (2costheta+1)(2costheta-1) (2cos2theta-1)(2cos4theta-1)=2cos8theta+1

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4