Class 11

4-1.Complex numbers question bank (Maths)

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Q1.

If $x + \sqrt{x^2 + 1} = a$,then $x =$

(A)
$\frac{1}{2}(a + \frac{1}{a})$
(B)
$\frac{1}{2}(a - \frac{1}{a})$
(C)
$(a + a^{-1})$
(D)
None of these
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Q2.

$\sum\limits_{n = 1}^{50} {{i^{2n-1}}}$ is equal to (where $i = \sqrt{-1}$)

(A)
$0$
(B)
$i$
(C)
$47 + i$
(D)
$i - 1$
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