Download App

Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
MCQ
Tick $(\checkmark)$ the correct answer: If $\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$ then $\Big(\text{x}^2+\frac{1}{\text{x}^2}\Big)=?$
  • A
    $25$
  • B
    $27$
  • ✓
    $23$
  • D
    $25\frac{1}{25}$
✓

Answer

Correct option: C.
$23$
$\Big(\text{x}+\frac{1}{\text{x}}\Big)=5,$
$\Big(\text{x}+\frac{1}{\text{x}}\Big)^2=(5)^2$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}+2=25$
$\Rightarrow​​\text{x}^2+\frac{1}{\text{x}^2}+25-2=23$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

The value of $(a+b)^2-(a-b)^2$ is:
→
If two quantities $x$ and $y$ vary directly with each other, then
→
What is the value of $(3a + 4b) (a - b)$
→
In the class- interval $70-80, 80$ is the:
→
The largest number of the three consecutive numbers is $x + 1.$ Then, the smallest number is:
→
The volume of rectangular box whose length, breadth, and height is $2p, 4q. 8r$ respectively is:
→
Which of the following numbers is a perfect cube?
→
cube of side $4\ cm$ is cut into $1\ cm$ cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
→
If $\text{log}^{\text{m}^\text{x}}_{\text{m}^\text{y}}=\frac{3}{4}$ then the value of $8\text{x}- 6 \text{y}+ 1$ is equal to:
→
How many natural numbers lie between $52$ and $6^2?$
→