Let and , where , for some 5' display='false'>. Then the value of is _________.

Let and , where , for some 5' display='false'>. Then the val... — JEE PYQs | Mockzy

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Let

a = (tan θ) \hat{i} + \hat{j}

and

b = \hat{i} - (cot θ) \hat{j}

, where

θ_{k} = \frac{2 k - 1}{2 n + 1} \frac{π}{12}

, for some . Then the value of

\frac{Σ _{k = 1}^{n} ∣ a + b ∣ ^{2}}{Σ _{k = 1}^{n} ∣ a - b ∣ ^{2}}

is _________.

If A = and B = , then is equal to _________.

The number of points, at which the function , , is not differentiable, is ______

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