Test Details

Algebraic Expressions and Identities,Factorisation

Test 2

Dec 07, 5:21 PM

45 minutes

Dec 07, 6:06 PM

80.0 marks

MCQ

22 questions

Spandan Bhol

Class Details

Maths

Siddhant's Class

Maths

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Question Text

Question 3 :
If $3a = 4b = 6c$ and $a + b + c = 27 \displaystyle \sqrt{29}$, then $\displaystyle \sqrt{a^{2}+b^{2}+c^{2}}$ is 

Question 6 :
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 ?<br/>

Question 9 :
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

Question 10 :
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 12 :
If $x+y=a $ and $xy=b$, then the value of $\displaystyle \frac{1}{x^{3}}+\frac{1}{y^{3}} $ is

Question 13 :
Find the value of K if (x + 1) is a factor of $x^8+ Kx^3 - 2x + 1$.

Question 15 :
Find the value of$\displaystyle\left( { 7a }^{ 6 }-8{ a }^{ 5 }+9{ a }^{ 4 } \right) \div { a }^{ 3 }$

Question 17 :
Factorize $(a - b)^{5} + (b - c)^{5} + (c - a)^{5}$

Question 18 :
Divide:$\displaystyle\left( { x }^{ 8 }{ y }^{ 7 }{ z }^{ 6 }-{ z }^{ 6 }{ y }^{ 7 }{ x }^{ 8 } \right)$ by$\displaystyle{ y }^{ 7 }{ x }^{ 8 }{ z }^{ 6 }$

Question 20 :
Simplify: $\displaystyle \left( { a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }-{ a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }+{ a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 } \right) \div { a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }$

Question 22 :
Evaluate :$\displaystyle10{ a }^{ 2 }b-15ab-25a{ b }^{ 2 }\div \left( \frac { -2 }{ 5 } ab \right)$

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