English Medium Class 9 - CBSE Question Bank Solutions

If \[2^{- m} \times \frac{1}{2^m} = \frac{1}{4},\] then \[\frac{1}{14}\left\{ ( 4^m )^{1/2} + \left( \frac{1}{5^m} \right)^{- 1} \right\}\]  is equal to

If \[\frac{2^{m + n}}{2^{n - m}} = 16\], \[\frac{3^p}{3^n} = 81\] and \[a = 2^{1/10}\],than  \[\frac{a^{2m + n - p}}{( a^{m - 2n + 2p} )^{- 1}} =\]

If \[\frac{3^{5x} \times {81}^2 \times 6561}{3^{2x}} = 3^7\]  then x =

If o <y <x, which statement must be true?

If 10^x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]

\[\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^n - 2 \times 5^{n + 1}}\]  is equal to

If \[\sqrt{2^n} = 1024,\] then \[{3^2}^\left( \frac{n}{4} - 4 \right) =\]

The simplest rationalising factor of  \[\sqrt[3]{500}\] is 

The simplest rationalising factor of \[\sqrt{3} + \sqrt{5}\] is ______.

The simplest rationalising factor of \[2\sqrt{5}-\]\[\sqrt{3}\] is 

If x = \[\frac{2}{3 + \sqrt{7}}\],then (x−3)² =

If \[x = 7 + 4\sqrt{3}\] and xy =1, then \[\frac{1}{x^2} + \frac{1}{y^2} =\]

If \[x + \sqrt{15} = 4,\] then \[x + \frac{1}{x}\] = 

If \[x = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}\] and \[y = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}\] then x + y +xy=

If x= \[\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\] and y = \[\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}\] , then x² + y +y² =

\[\frac{1}{\sqrt{9} - \sqrt{8}}\] is equal to

The value of \[\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}}\] is 

If \[\frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y\sqrt{3}\] , then

If x = \[\sqrt[3]{2 + \sqrt{3}}\] , then \[x^3 + \frac{1}{x^3} =\]

The value of \[\sqrt{3 - 2\sqrt{2}}\] is