Class 11

01. Basic Mathematics question bank (Maths)

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Q1.

If \( x = 8 - \sqrt{60} \), then
\[
\frac{1}{2} \left[ \sqrt{x} + \frac{2}{\sqrt{x}} \right] =
\]

(A)

\( \sqrt{5} \)

(B)

\( \sqrt{3} \)

(C)

\( 2\sqrt{5} \)

(D)

\( 2\sqrt{3} \)

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Q2.

If
\[
\frac{4 + 3\sqrt{5}}{4 - 3\sqrt{5}} = a + b\sqrt{5}
\]
where \( a, b \) are rational numbers, then \( (a, b) = \)

(A)

\( \left( \frac{61}{29}, \frac{-24}{29} \right) \)

(B)

\( \left( \frac{-61}{29}, \frac{24}{29} \right) \)

(C)

\( \left( \frac{61}{29}, \frac{24}{29} \right) \)

(D)

\( \left( \frac{-61}{29}, \frac{-24}{29} \right) \)

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