Find the value of ( a^2 + a^2 - 1 )^4 + ( a^2 - a^2 - 1 )^4 - Vidyadip

Question

Find the value of ${({a^2} + \sqrt {{a^2} - 1} )^4} + {({a^2} - \sqrt {{a^2} - 1} )^4}$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "3 Marks Question" from Binomial Theorem→Binomial Theorem — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $^nC_{r – 1 }= 36,^nC_r = 84$ and $^nC_{r + 1} = 126,$ then find $^rC_2 .$
$[$Hint: Form equation using $\frac{^\text{n}\text{C}_\text{r}}{^\text{n}\text{C}_{r+1}}$and $\frac{^\text{n}\text{C}_\text{r}}{^\text{n}\text{C}_{r-1}}$ to find the value of $r.]$

Find the vertex, focus, axis, directrix and latus-rectum of the following parabolas:
$y^2 - 4y - 3x + 1 = 0.$

If P(n) is the statement "$n^2 + n$ is even", and if $P(r)$ is true, then $P(r + 1)$ is true.

If $\tan\text{x}=\frac{\text{b}}{\text{a}},$ then find the value of $\sqrt{\frac{\text{a+b}}{\text{a}-\text{b}}}+\sqrt{\frac{\text{a}-\text{b}}{\text{a}+\text{b}}}$

Solve the following system of equations in R.
$\frac{1}{|\text{x}|-3}\leq\frac{1}{2}$

Find the coefficient of $x^4$ in the expansion of $(1 + x + x^2 + x^3 )^{11}.$

The function $f: X \rightarrow R$ is defined by $f(x)=x^3+1$, where $X=\{-1,0,3,9,7\}$.

In a survey of $100$ persons it was found that $28$ read magazine $A, 30$ read magazine $B, 42$ read magazine $C, 8$ read magazines $A$ and $B, 10$ read magazines $A$ and $C, 5$ read magazines $B$ and $C$ and $3$ read all the three magazines?

How many read none of three magazines?
How many read magazine $C$ only?

Find the mean deviation from the median for the following data:

$x_i$	$15$	$21$	$27$	$30$	$35$
$fi$	$3$	$5$	$6$	$7$	$8$

Find the square root of $3 - 4i$