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Question

α
β
γ
θ

medium

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.

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SIMILAR QUESTIONS

Q1

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Q2

If the value of

Is equal to k², then k is equal to

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Q3

is equal to

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Q4

of k is equal to

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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

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Q6

equal to

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Q7

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Q8

to

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Q9

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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

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