If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b} \) and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\) = ?
\(\frac{{2ab}}{{{a^2} - {b^2}}}\)
\(\frac{{{a^2} - {b^2}}}{{2ab}}\)
\(\frac{{{a^2} + {b^2}}}{{2ab}}\)
\(\frac{{{a^2} - {b^2}}}{{ab}}\)
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421 ÷ 35 × 299.97 ÷ 25.05 = ?2
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If a - b = 3 and a2 + b2 = 29, find the value of ab = ?
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3
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If the expression \({ \text{2}}\frac{1}{2}{ \text{ of }}\frac{3}{4} \times \frac{1}{2} \div \frac{3}{2} + \frac{1}{2} \div \frac{3}{2}\left[ {\frac{2}{3} - \frac{1}{2}{ \text{ of }}\frac{2}{3}} \right]\) is simplified, we get -
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4
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Given that ( 12 + 22 + 32 + .......... + 102 ) = 385, then the value of ( 22 + 32 + 42 + .......... + 202 ) is equal to = ?
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5
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If \(\left( {x + \frac{1}{x}} \right){ \text{ = 2,}}\) then \(\left( {x - \frac{1}{x}} \right)\) is equal to = ?
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\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)
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If \(\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{ \text{ = 4}}\) then x = ?
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8
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A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
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\(1\frac{3}{4} - 1\frac{1}{5} + 1\frac{5}{8} = ?\)
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10
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The sum of \(\sqrt {0.01} + \sqrt {0.81} + \sqrt {1.21} + \sqrt {0.0009} = ?\)
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