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## 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