Class IX B Test 2

A rational number between

 $\sqrt{2}$  and  $\sqrt{3}$  is

•  $\frac{\left(\sqrt{2}+\sqrt{3}\right)}{2}$  

•  $\frac{\left(\sqrt{2}.\sqrt{3}\right)}{2}$  

•  $1.5$  

•  $1.8\pi$  

The value of 1.999... in the form p/q,where p and q are integers and $q\ne0$  ,is

•  $\frac{19}{10}$  

•  $\frac{1999}{1000}$  

• 2

•  $\frac{1}{9}$  

The number obtained on rationalising the denominator of

 $\frac{1}{\sqrt{7}-2}$  is

•  $\frac{\left(\sqrt{7}\ +2\right)}{3}$  

•  $\frac{\left(\sqrt{7}-2\right)}{3}$  

•  $\frac{\left(\sqrt{7}+2\right)}{5}$  

•  $\frac{\left(\sqrt{7}+2\right)}{45}$  

After rationalising the denominator of

 $\frac{7}{3\sqrt{3}-2\sqrt{2}}$  , we get the denominator as

• 13

  
  

• 19

• 5

• 35

If $\left(\frac{3}{4}\right)^6\times\left(\frac{16}{9}\right)^5=\left(\frac{4}{3}\right)^{x+2}$   ,find the value of x

• 6

• 2

• -2

• -6

Which one of the following is a polynomial

• $\frac{x^2}{2}-\frac{2}{x^2}$

• $\sqrt{2x}-1$

• $x^2+\frac{\left(3x^{\frac{3}{2}}\right)}{\sqrt{x}}$

• $\frac{\left(x-1\right)}{x+1}$

Degree of the polynomial  $4x^4+0x^3+0x^5+5x+7$  is

• 4

• 5

• 3

• 7

If $p\left(x\right)=x^{2\ }-2\sqrt{2}x\ +1$  ,then  $p\left(2\sqrt{2}\right)$  is equal to

• 0

• 1

•  $4\sqrt{2}$  

•  $8\sqrt{2}+1$  

One of the zeroes of the polynomial $2x^2+7x-4$  is

• 2

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

• -2

x+1 is a factor of the polynomial

• $x^3+x^2-x+1$

• $x^3+x^2+x+1$

• $x^4+x^3+x^2+1$

• $x^4+3x^3+3x^2+x+1$