MCQ
The zeros of the polynomial $p(x) = 3x^2 - 1$ are:
- A$\frac{1}{3}\ \text{and}\ 3$
- B$\frac{1}{\sqrt3}\ \text{and}\ \sqrt3$
- C$\frac{-1}{\sqrt3}\ \text{and}\ \sqrt3$
- ✓$\frac{1}{\sqrt3}\ \text{and}\ \frac{-1}{\sqrt3}$
✓
Answer
Correct option: D.
$\frac{1}{\sqrt3}\ \text{and}\ \frac{-1}{\sqrt3}$
$p(x)=3 x^2-1$
$\text { Now, } p(x)=0$
$\Rightarrow 3 x^2-1=0$
$\Rightarrow 3 x^2=1$
$\Rightarrow\text{x}^2=\frac{1}{3}$
$\Rightarrow\text{x}=\frac{1}{\sqrt3}\ \text{and}\ -\frac{1}{\sqrt3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$D$ and $E$ are the mid-points of the sides $A B$ and $A C$ res. Of $\triangle A B C$. $D E$ is produced to $F$. To prove that $C F$ is equal and parallel to $DA$ , we need an additional information which is:
→An exterior angle of a triangle is $80^\circ $ and the interior opposite angles are in the ratio $1 : 3$. Measure of each inte4rior opposite angle is:
→Write the correct answer in the following: The length of each side of an equilateral triangle having an area of $9\sqrt{3}\text{cm}^2$ is:
→If $a + b + c = 0,$ then $a^3 + b^3 + c^3$ is equal to:
→Points $(-4, 0)$ and $(7, 0)$ lie:
→The volume of a cone is $1570\ cm^2$. If it is $15\ cm$ high, then its base area is:
→The diameter of the base of a cylinder is $6\ cm$ and its height is $14\ cm.$ The volume of the cylinder is:
→In an isosceles, $\triangle\text{ABC},$ $AB = AC$ and side $BA$ is produced to $D$ such that $AB = AD$. Then the measure of $\angle\text{BCD}$ is:
→The measurement of Complete angle is:
If $\left(3 x+\frac{1}{2}\right)\left(3 x-\frac{1}{2}\right)=9 x^2-p$ then the value of $p$ is
→