Important MCQs Variations Class 10 – 1

The post is about Multiple Choice Questions about Variations Class 10 from Chapter 3. There are 20 MCQs from Class 10 mathematics Chapter 3. Let us start with the quiz.

Online Multiple Choice Questions about Variations from Chapter 3 of Class 10 Mathematics

1. In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.

 
 
 
 

2. If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.

 
 
 
 

3. In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.

 
 
 
 

4. The fourth proportional $w$ of $x:y::v:w$ is

 
 
 
 

5. If $u \propto v^2$ then

 
 
 
 

6. In a proportion $a:b::c:d$, $b$ and $c$ are called

 
 
 
 

7. In a ratio $x:y$, $y$ is called

 
 
 
 

8. If $a:b=x:y$ then alternate is

 
 
 
 

9. In a proportion $a:b::c:d$, $a$ and $d$ are called

 
 
 
 

10. If $\frac{u}{v} = \frac{v}{2}=k$ then

 
 
 
 

11. The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is

 
 
 
 

12. If $a:b=x:y$ then inverted property is

 
 
 
 

13. If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.

 
 
 
 

14. In a ratio $a:b$, $a$ is called

 
 
 
 

15. If $\frac{a}{b}=\frac{c}{d}$ then components property is

 
 
 
 

16. Newton’s law of Gravitation is an example of

 
 
 
 

17. The third proportional of $x^2$ and $y^2$ is

 
 
 
 

18. Find $x$ in proportion $4:x::5:15$

 
 
 
 

19. the relation between radius and circumference of a circle is an example of

 
 
 
 

20. If $y^2 \propto \frac{1}{x^3}$ then

 
 
 
 

MCQs Variations Class 10 Mathematics

  • In a ratio $a:b$, $a$ is called
  • In a ratio $x:y$, $y$ is called
  • In a proportion $a:b::c:d$, $a$ and $d$ are called
  • In a proportion $a:b::c:d$, $b$ and $c$ are called
  • In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.
  • In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.
  • Find $x$ in proportion $4:x::5:15$
  • If $u \propto v^2$ then
  • If $y^2 \propto \frac{1}{x^3}$ then
  • If $\frac{u}{v} = \frac{v}{2}=k$ then
  • The third proportional of $x^2$ and $y^2$ is
  • The fourth proportional $w$ of $x:y::v:w$ is
  • If $a:b=x:y$ then alternate is
  • If $a:b=x:y$ then inverted property is
  • If $\frac{a}{b}=\frac{c}{d}$ then components property is
  • The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is
  • Newton’s law of Gravitation is an example of
  • the relation between radius and circumference of a circle is an example of
  • If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.
  • If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.
Chapter 3 Mathematics Variations Class 10 with Answers

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Theory of Quadratic Equation MCQS Class 10 3

The post is about the Theory of Quadratic Equations MCQ Class 10 from Chapter 2 of Mathematics. There are 20 MCQs from Chapter 2 of class 10 Mathematics. Let us start with the Theory of Quadratic Equation MCQs Class 10.

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Theory of Quadratic Equation MCQs Class 10 mathematics with Answers

Theory of Quadratic Equation MCQS

  • If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega^2=$
  • If $1, \omega, \omega^2$ are cube roots of unity, then $\omega+\omega^2=$
  • if $\omega$ is complex cube roots of unity, then $\omega^7=$
  • If $\omega$ is complex cube roots of unity, then $\omega^{23}=$
  • If $\omega$ is complex cube roots of unity, then $\omega^{63}=$
  • If $\omega$ is complex cube roots of unity, then $\omega^{-5}=$
  • If $\omega$ is complex cube roots of unity, then $\omega^{-16}=$
  • If $\omega$ is complex cube roots of unity, then $\omega^{-27}=$
  • $\left(-1 + \sqrt{-3}\right)^2=$
  • The cube roots of 8 are
  • Cube roots of -27 are
  • Cube roots of 64 are
  • $\left(1-\omega – \omega^2\right)^5=$
  • $\left(1-3\omega – 3\omega^2\right)^3=$
  • $\left(9+4\omega + 4\omega^2\right)^3=$
  • Which of the following are symmetric functions of the roots of a quadratic equation?
  • Which of the following shows “the product of two consecutive positive numbers”?
  • The sum of five times a number and the square of the number is
  • If the length and width of a rectangle are $x$ and $y$ respectively then which of the following shows the perimeter?
  • “Five less than three times a certain number” is

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MCQs Theory of Quadratic Equation class 10 2

Multiple Choice Questions about the Theory of Quadratic Equation Class 10 Mathematics with Answers. There are 20 MCQs about the Theory of Quadratic Equations from Chapter 2 of class 10 Mathematics. Let us start with the “Theory of Quadratic Equation Class 10” quiz.

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Theory of Quadratic Equation Class 10 Mathematics Punjab Board

Theory of Quadratic Equation Class 10 Mathematics

  • The roots of $x^2+8x+16=0$ are
  • If the roots of a quadratic equation equal then the discriminant is
  • If the roots of a quadratic equation are imaginary then the discriminant is
  • If the roots of a quadratic equation are real and distinct then the discriminant is
  • If the roots of a quadratic equation are rational and distinct then the discriminant is
  • If the roots of a quadratic equation are irrational and distinct then the discriminant is
  • If for a quadratic equation $b^2 – 4ac=49$ then the roots are real and
  • If for a quadratic equation, $b^2-4ac=-47$ then the roots are
  • If for a quadratic equation $b^2-4ac=0$ then roots are
  • If for a quadratic equation, $b^2-4ac=205$ then the roots are
  • Which of the following is a true description of the nature of the roots of a quadratic equation?
  • If the roots of a quadratic equation are real, rational, and equal, then the possible value of the discriminant is
  • If the roots of a quadratic equation are real, rational, and unequal then the possible value of the discriminant is
  • If the roots of a quadratic equation are real, irrational, and unequal, then the possible value of the discriminant is
  • If the roots of a quadratic equation are imaginary and unequal, the possible value of the discriminant is
  • If $\omega = \frac{-1 – \sqrt{-3}}{2}$ then $\omega^2=$?
  • If $\omega$ and $\omega^2$ are complex cube roots of unity, then $\omega \cdot \omega^2=$?
  • $\omega^4=$?
  • If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega + \omega^2=$
  • If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega=$

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MCQs Theory of Quadratic Equations 1

Online multiple-choice questions about the Theory of Quadratic Equations Class 10 with Answers. The Quiz contains 20 MCQs from Chapter 2 of class 10 Mathematics. Let us start with the Theory of Quadratic Equations Quiz.

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Theory of Quadratic Equations Class 10 Mathematics

Theory of Quadratic Equations 10 Class Mathematics

  • If $\alpha$ and $\beta$ are the roots of $3x^2+5x-2=0$ then $\alpha + \beta$ is
  • If $\alpha$ and $\beta$ are the roots of $7x^2-x+4=0$ then $\alpha\beta$ is
  • The roots of the equation $4x^2-5x+2=0$ are
  • Cube roots of $-1$ are
  • The sum of the cube roots of unity is
  • The product of cube roots of unity is
  • If $b^2-4ac <0$ then the roots of $ax^2+bx+c=0$ are If $b^2-4ac>0$ but not a perfect square then roots of $ax^2+bx+c=0$ are
  • $\frac{1}{\alpha} + \frac{1}{\beta}$ is equal to
  • $\alpha^2+\beta^2$ is equal to
  • Two square roots of unity are
  • The roots of the equation $4x^2-4x + 1 =0$ are
  • If $\alpha, \beta$ are the roots of $px^2+qx+r=0$ then sum of the roots $2\alpha$ and $2\beta$ is
  • If $\alpha, \beta$ are the roots of $x^2-x-1=0$ then product of the roots $2\alpha$ and $2\beta$ is
  • The nature of the roots of equation $ax^2+bx+c=0$ is determined by
  • The discriminant of $ax^2+bx+c=0$ is
  • If $b^2-4ac>0$ and is a perfect square then roots of $ax^2+bx+c=0$ are
  • If $b^2-4ac=0$ then roots of $ax^2+bx+c=0$ are
  • Discriminant of $2x^2 -7x+1=0$ is
  • Discriminant of $x^2-3x+3=0$ is

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