Question

    

Solution

Correct option is

θ

Differentiating the given determinant w. r. t. θ we get

                                                          

                    = 0 + 0 = 0

where f (θ) denotes the given determinant     

⇒ f (θ) is independent of θ.

Alternately

Expanding the determinant along last column we get

                                                                        

 

Which is independent of θ.

SIMILAR QUESTIONS

Q2

If the value of

        

Is equal to k2, then k is equal to

Q3

  is equal to

 

Q4

 of k is equal to

 

Q5

If A and B are acute positive angles satisfying the equation 3 sin2 A + 2 sin2B = 1 and 3 sin 2A – 2 sin2B = 0, then A + 2B is equal to

 

Q6

  equal to

Q7

 

 

Q8

 to

Q9
Q10

If θ and ∅ are acute angles such that sin θ = 1/2 and cos ∅ = 1/3 and cos ∅ = 1/3, then θ + ∅ lies in