MCQs Algebraic Manipulation 9th Class

The post is about Online MCQs about Algebraic Manipulation from Chapter 6 of 9th Class Mathematics. There are 20 multiple-choice questions from Chapter 6 of 9th Class Mathematics. Let us start with MCQs Algebraic Manipulation with Answers.

MCQs Algebraic Manipulation 9th Class Quiz

Online MCQs about Algebraic Manipulation from Chapter 6 of 9th Class Mathematics Book.

1. Simplify $\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$

 
 
 
 

2. The square root of $4x^2 -12x +9$ is

 
 
 
 

3. Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$

 
 
 
 

4. LCM of $a^2+b^2$ and $a^4-b^4$ is

 
 
 
 

5. LCM $\times$ HCF =

 
 
 
 

6. The product of two algebraic expressions equals the _________ of their HCF and LCM.

 
 
 
 

7. HCF of $x^2-5x+6$ and $x^2 – x – 6$ is

 
 
 
 

8. If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is

 
 
 
 

9. HCF = ?

 
 
 
 

10. The square root of $a^2-2a+1$ is

 
 
 
 

11. The square root of $x^4 + \frac{1}{x^4}+2$  is

 
 
 
 

12. HCF of a $a^2-b^2$ and $a^3-b^3$ is

 
 
 
 

13. HCF of $x-2$ and $x^2+x – 6$ is

 
 
 
 

14. Simplify $\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$

 
 
 
 

15. HCF of $a^3  +b^3$ and $x^2-ab+b^2$ is

 
 
 
 

16. HCF of $p^3q – pq^3$ and $p^5q^2 -p^2q^5$ is

 
 
 
 

17. HCF of $5x^2y^2$ and 20x^3y^3$ is

 
 
 
 

18. Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$

 
 
 
 

19. HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is

 
 
 
 

20. Any unknown expression may be found if _______ of them are known by using the relation

 
 
 
 

21. How many methods are used to find the HCF of given expression?

 
 
 
 

22. What should be added to complete the square of $x64 + 64$?

 
 
 
 

23. How many methods are used to find the square root of a given expression?

 
 
 
 

24. LCM of $15x^2$, $45xy$, and $30xyz$ is

 
 
 
 

25. $\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$

 
 
 
 

26. LCM = ?

 
 
 
 

27. The HCF of $x^2-4$, $x^4+4x+4$, and $2x^2+x-6$ is

 
 
 
 

  • HCF of $p^3q – pq^3$ and $p^5q^2 -p^2q^5$ is
  • HCF of $5x^2y^2$ and 20x^3y^3$ is
  • HCF of $x-2$ and $x^2+x – 6$ is
  • HCF of $a^3  +b^3$ and $x^2-ab+b^2$ is
  • HCF of $x^2-5x+6$ and $x^2 – x – 6$ is
  • HCF of a $a^2-b^2$ and $a^3-b^3$ is
  • HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is
  • LCM of $15x^2$, $45xy$, and $30xyz$ is
  • LCM of $a^2+b^2$ and $a^4-b^4$ is
  • The product of two algebraic expressions equals the ____________ of their HCF and LCM.
  • Simplify $\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$
  • Simplify $\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$
  • Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$
  • Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$
  • The square root of $a^2-2a+1$ is
  • What should be added to complete the square of $x64 + 64$?
  • The square root of $x^4 + \frac{1}{x^4}+2$  is
  • The square root of $4x^2 -12x +9$ is
  • LCM =?
  • HCF =?
  • LCM $\times$ HCF =
  • Any unknown expression may be found if _ of them are known by using the relation
  • The HCF of $x^2-4$, $x^4+4x+4$, and $2x^2+x-6$ is
  • $\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$
  • If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is
  • How many methods are used to find the HCF of a given expression?
  • How many methods are used to find the square root of a given expression?
MCQs Algebraic Manipulation Chapter 6, 9th Class

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Functions and Limits Quiz Second Year 3

The post is about the MCQs Functions and Limits Quiz from Chapter 1 of Mathematics Second Year Book. Let us start with MCQs Functions and Limits Quiz.

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MCQS Functions and Limits Quiz with Answers

  • If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called
  • $x=at^2$, $y=2at$ represents ——-.
  • If $f:X\rightarrow Y$, then $Y$ is called
  • $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$
  • A function $f(x)$ is said to be continuous at $x=c$ if
  • A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.
  • If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.
  • If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.
  • If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?
  • $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.
  • The range of a constant function is ——–.
  • $f(x)=sin\,x + cos\, x$ is ——– function.
  • $sin\,h^{-1}$\, x =$ ——
  • The perimeter $P$ of a square as a function of its Area $A$ is
  • The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.
  • $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.
  • $log\, x$ is not defined at $x=$ ——–.
  • $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.
  • $cos h^2x – sin h^2x =$——–.
  • The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.
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