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If x,y in R then the determinant Delta=|...

If `x,y in R` then the determinant `Delta=|{:(cosx,-sinx,1),(sinx,cosx,1),(cos(x+y),-sin(x+y),0):}|` lies in the interval

A

`[-sqrt(2),sqrt(2)]`

B

`[-1,1]`

C

`[-sqrt(2),1]`

D

`[-1,-sqrt(2)]`

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The correct Answer is:
A
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  3. If A=[(3,2),(1,4)] , then A(adj A) equals

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  11. The number of distinct real roots of |{:(sinx,cosx,cosx),(cosx,sinx,co...

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  13. Let f(t)=|{:(cost,t,1),(2sint,t,2t),(sint,t,t):}|, then LT(t to o)(f(t...

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  16. If A=[{:(2,lambda,-3),(0,2,5),(1,1,3):}| , then A^(-1) exists if

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  18. If x,y,z are all different from zero and |{:(1+x,1,1),(1,1+y,1),(1,1,1...

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  19. Without expanding, prove the following |(x,x+y,x+2y),(x+2y,x,x+y),(...

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