Category: Quadratic Equation

Quadratic Equation-1Quadratic Equation-1

July 12, 2021July 12, 2021 Muhammad Imdad UllahMuhammad Imdad Ullah 0 Comments

First-year pre-engineering mathematics multiple choice questions online examination. MCQS about Quadratic equation-1 online examination. MCQs about two-degree equations,

First-year (Intermediate) Pre-Engineering mathematics examination preparation.
Pakistan All boards Pre-Engineering Mathematics MCQs Online Test

1. The equation which remains unchanged if $x$ is replaced by $\frac{1}{x}$, then it is called

Exponential function

Exponential equation

Reciprocal equation

Quadratic equation

2. The complex cube roots of unit are ______________ each other

Additive inverse of

Equal to each other

Conjugate of each other

None of these

3. The cube roots of unity are

$ 1, \frac{-1 +i\sqrt{3} }{2}, \frac{1+i\sqrt{3}}{2} $

$ 1, \frac{-1 – i\sqrt{3} }{2}, \frac{1- i\sqrt{3}}{2} $

$ 1, \frac{-1 +i\sqrt{3} }{2}, \frac{-1- i\sqrt{3}}{2} $

$ 1, \frac{-1- i\sqrt{3} }{2}, \frac{1- i\sqrt{3}}{2} $

4. Sum of all cube roots of 64 is

$ 0 $

$ 1 $

$ 64 $

$ -64 $

5. The convert $ax^{2n} + bx^n + c =0 (a\ne 0) $ into quadratic form, the correction substitution

$ y = x^n $

$ y = x^{2n} $

$ y = x ^{-n} $

$ y = \frac{1}{x} $

6. $16\omega^4 + 16 \omega^8$

$ 0 $

$ -16 $

$ 16 $

$ -1 $

7. The equation in which variable quantity occurs in exponent is called

Exponential function

Exponential equation

Reciprocal equation

Quadratic equation

8. The quadratic formula for solving the equation $ax^2 + bx + c =0$ is $(a\ne 0)$

$ x = – b \pm \frac{\sqrt{b^2 – 4ac} } {2a} $

$ x = – b \pm \sqrt{ \frac{b^2 – 4ac} {2a} }$

$ x = – b \pm \frac{\sqrt{b^2 + 4ac} } {2a} $

$ x = – b \pm \sqrt{ \frac{b^2 + 4ac} {2a} } $

9. The equation $ax^2 + bx + 9 =0$ will be quadratic if

$ a=0, b \ne 0 $

$ a \ne 0 $

$ a = b = 0 $

$b =$ any real number

10. The roots which satisfy radical free equation but not radical equation are called

Extraneous roots

Radical roots

Original roots

Exact roots

11. Solution set of the equation $x^2 – 4x + 4 = 0$ is

$ \{2, -2 \} $

$ \{ 2\} $

$ \{ -2\} $

$ \{ 4, -4\} $

12. The cube roots of $-1$ are

$ -1, \frac{-1+i\sqrt{3}}{2}, \frac{1-i\sqrt{3}}{2} $

$ -1, \frac{-1-i\sqrt{3}}{2}, \frac{1+i\sqrt{3}}{2} $

$ -1, \frac{1+i\sqrt{3}}{2}, \frac{1-i\sqrt{3}}{2} $

$ -1, \frac{-1-i\sqrt{3}}{2}, \frac{-1+i\sqrt{3}}{2} $

13. Product of all cube roots of $-1$ is

$ 0 $

$ -1 $

$ 1 $

None

14. The equations involving radical expressions of the variable are called

Reciprocal equations

Radical equations

Quadratic equations

Exponential equations

15. $(-1 + \sqrt{-3})^5 + (-1 – \sqrt{-3})^5$ is equal to

$ 0 $

$ 32 $

$ -32 $

$ -1 $

16. The product of all four fourth roots of 81 is

$ -81 $

$ 81 $

$ 0 $

$ 1 $

17. To convert $ 4^{1+x} + 4^{1-x} =10$ into quadratic, the substitution is

$ y = 4^{1-x} $

$ y= 4^{1+x} $

$ y = 4^ x $

$ y= 4^{-x} $

18. The sum of all four fourth roots of unity is

Unity

$ -1 $

None

19. The product of all four fourth roots of unity is

Unity

$ 0 $

$ -1 $

None

20. The sum of all four fourth roots are 16 is

$ 16 $

$ -16 $

$ 0 $

$ 1 $

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Category: Quadratic Equation

Quadratic Equation-1Quadratic Equation-1

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