# KVS MATHEMATICS QUIZ 64 (ALGEBRA)

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## Question 1:

If $x=7+4 \sqrt{3}$, then the value of $\left(x+\frac{1}{x}\right)$ is :

## Question 2:

If $4 a^{2}+b^{2}=18$ and $a b=4$, then the value of $(2 a+b)^{2}$ is ?

## Question 3:

If $7 x-1=48$, then the value of $2 x^3+3 x$ is:

## Question 4:

If $a+b+c=0$, then the value of $a^{3}+b^{3}+c^{3}$ is:

## Question 5:

If $a+b=10$ and $a b=5$, then what is the value of $a^{2}+b^{2}$ ?

## Question 6:

If $x+y=15$ and $x y=45$, then what is the value of $x^{2}+y^{2}$?

## Question 7:

If $a^{2}-b^{2}=55$ and $a+b=11$ then find the value of $\frac{a^{3}+b^{3}}{a-b}$ ?

## Question 8:

If $2 \mathrm{a}-\mathrm{b}=4$ and $3\mathrm{~b}+2 \mathrm{c}=44$, then the value of $a+b+c$ is:

## Question 9:

Which of following is correct?

## Question 10:

If $x+\frac{1}{x}=7$, then $x^{3}+\frac{1}{x^{3}}$ is equal to: