-2-1-2-1-2-1-2-1-3-1-3-1-3-1-3-1 equals

The correct option is C 3/2 √(2) 1/√(2)+1+√(2)+1/√(2) 1/√(3) 1/√(3)+1+√(3)+1/√(3) 1 equals ⇒√(2) 1/√(2)+1+√(2)+1/√(2) 1/√(3) 1/√(3)+1+√(3)+1/√(3 ...

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Byju's Answer

Standard XII

Mathematics

Implicit Differentiation

√2-1/√2+1+√2+...

Question

$\frac{\frac{\sqrt{2} - 1}{\sqrt{2} + 1} + \frac{\sqrt{2} + 1}{\sqrt{2} - 1}}{\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}} e q u a l s$

\frac{2}{3}

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\frac{3}{2}

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Solution

The correct option is C $\frac{3}{2}$
$\frac{\frac{\sqrt{2} - 1}{\sqrt{2} + 1} + \frac{\sqrt{2} + 1}{\sqrt{2} - 1}}{\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}} e q u a l s$
$\Rightarrow \frac{\frac{\sqrt{2} - 1}{\sqrt{2} + 1} + \frac{\sqrt{2} + 1}{\sqrt{2} - 1}}{\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}}$
$\Rightarrow \frac{\frac{{(\sqrt{2} - 1)}^{2} + {(\sqrt{2} + 1)}^{2}}{1}}{\frac{{(\sqrt{3} - 1)}^{2} + {(\sqrt{3} + 1)}^{2}}{2}}$
$\Rightarrow \frac{2 (2 + 1 - 2 \sqrt{2} + 2 + 1 + 2 \sqrt{2})}{3 + 1 - 2 \sqrt{3} + 3 + 1 + 2 \sqrt{3}}$
$\Rightarrow \frac{2 (6)}{8}$
$\Rightarrow \frac{3}{2}$

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Similar questions

Find the mode from the given data.

1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 , 3, 4, 1, 2, 3, 4, 1 ,2 , 3, 4, 5, 5, 1, 5, 5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

Simplify:

$(i) {{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}} \div {(\frac{1}{4})}^{- 3} (i i) (3^{2} - 2^{2}) \times {(\frac{2}{3})}^{- 3} (i i i) {(\frac{1}{2}) \times (- 4)^{- 1}}^{- 1} (i v) {[{{(\frac{- 1}{4})}^{2}}^{- 2}]}^{- 1} (v) {{(\frac{2}{3})}^{2}}^{3} \times {(\frac{1}{3})}^{- 4} \times 3^{- 1} \times 6^{- 1}$

Q. Simplify:

\frac{3}{2} \div {\frac{1}{2} + \frac{1}{3} + \frac{1}{6} \div (\frac{3}{4} - \frac{1}{2})}

Evaluate :

$(i) (3^{- 1} \times 9^{- 1}) \div 3^{- 2} (i i) (3^{- 1} \times 4^{- 1}) \div 6^{- 1} (i i i) (2^{- 1} + 3^{- 1})^{3} (i v) (3^{- 1} \div 4^{- 1})^{2} (v) (2^{2} + 3^{2}) \times {(\frac{1}{2})}^{2} (v i) (5^{2} - 3^{2}) \times {(\frac{2}{3})}^{- 3} (v i i) [{(\frac{1}{4})}^{- 3} - {(\frac{1}{3})}^{- 3}] \div {(\frac{1}{6})}^{- 3} (v i i i) {[{(- \frac{3}{4})}^{- 2}]}^{2} (i x) {{(\frac{3}{5})}^{- 2}}^{- 2} (x) (5^{- 1} \times 3^{- 1}) \div 6^{- 1}$

Q. Following are the margins of victory in the football matches of a league.

1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2, 3

, find the mode of this data.

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√2−1√2+1+√2+1√2−1√3−1√3+1+√3+1√3−1equals

The correct option is C 32√2−1√2+1+√2+1√2−1√3−1√3+1+√3+1√3−1equals⇒√2−1√2+1+√2+1√2−1√3−1√3+1+√3+1√3−1⇒(√2−1)2+(√2+1)21(√3−1)2+(√3+1)22⇒2(2+1−2√2+2+1+2√2)3+1−2√3+3+1+2√3⇒2(6)8⇒32

$\frac{\frac{\sqrt{2} - 1}{\sqrt{2} + 1} + \frac{\sqrt{2} + 1}{\sqrt{2} - 1}}{\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}} e q u a l s$