Test Details

Algebraic Expressions and Identities

Do properly in your notebook

Jan 27, 1:00 AM

90 minutes

Jan 31, 1:00 AM

64.0 marks

MCQ

30 questions

Sushil Susawat

Class Details

Maths

Science

Class 9

Maths

Science

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Question Text

Question 1 :
If $a\, -\displaystyle \frac{1}{a}\, =\, 8$ and $a\, \neq\, 0$; find $a^{2}\, -\, \displaystyle \frac{1}{a^{2}}$

Question 8 :
Simplify the following:  $(\sqrt{3}-\sqrt{2})^{2}$ is equal to $5-2\sqrt{6}$  If true then enter $1$ and if false then enter $0$

Question 9 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to

Question 10 :
If $a-b=3$ and $ \displaystyle a^{3}-b^{3}=117 $ then $a+b$ is equal to 

Question 12 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.

Question 13 :
How many pairs of natural numbers are there so that difference of the square of the first tois 60 ? (Note : If (a,b) is a pair satisfying , we will not consider (b,a) as a pair)

Question 14 :
If $3x-7y = 10$ and $xy = -1$, then the value of $9x^2\, +\, 49y^2$ is equal to

Question 16 :
If $\displaystyle a + \dfrac{1}{a} = 4$ and $\displaystyle a \neq 0$, find $\displaystyle a^{2} + \dfrac{1}{a^{2}}$.

Question 20 :
The number to be added to make $x^2-\frac {1}{2}$ x a perfect square is

Question 23 :
Given the polynomial $a_{0}x^{n} + a_{1}x^{n - 1} + ... + a_{n - 1}x + a_{n}$, where $n$ is a positive integer or zero, and $a_{0}$ is a positive integer. The remaining $a's$ are integers or zero. Set$h = n + a_{0} + |a_{1}| + |a_{2}| + .... + |a_{n}|$. The number of polynomials with $h = 3$ is

Question 25 :
Two numbers are such that their sum multiplied by the sum of their squares is $5500$ and their difference multiplied by the difference of the squares is $352$. Then the numbers are ?

Question 27 :
If $x+y=a $ and $xy=b$, then the value of $\displaystyle \frac{1}{x^{3}}+\frac{1}{y^{3}} $ is

Question 28 :
The value of$\displaystyle \left ( x-y \right )^{3}+\left ( x+y \right )^{3}+3\left ( x-y \right )^{2}\left ( x+y \right )+3\left ( x+y \right )^{2}\left ( x-y \right )$ is

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