TS EAMCET · Maths · Sequences and Series

The approximate value of $\sqrt{6560}$ is

A $80.9939$
B $80.9838$
C $78.9939$
D $78.9838$

Verified Solution

Answer & Solution

Correct Answer

(A) $80.9939$

Step-by-step Solution

Detailed explanation

$\sqrt{6560} \approx 80.993826$

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Consider the simultaneous linear equations $\beta x+\alpha y-z=-1$, $3 x-\beta y+\alpha z=0 \alpha x+\beta y+z=1$. In the usual notation used in Crammer's rule, given that
$\frac{\Delta_1}{\Delta}=-1, \frac{\Delta_2}{\Delta}=1 \cdot \frac{\Delta_3}{\Delta}=2$, then $(\alpha, \beta)=$

TS EAMCET 2022 Medium
The probability distribution of a random variable $X$ is given below

If mean of $X$ is 4.2 , then $a$ and $b$ are respectively equal to

TS EAMCET 2017 Medium
The axis of a parabola is along the line $y = x$ and the distance of its vertex $A$ from $(0, 0)$ is $\sqrt{2}$ and that of its focus $S$ from $(0, 0)$ is $2 \sqrt{2}$ . If $A$ and $S$ lie in first quadrant, then the equation of the parabola in parametric form is

TS EAMCET 2022 Easy
The function that is not differentiable at $x=1$ is

TS EAMCET 2018 Medium
$\int (2 x - 3) \sqrt{3 x + 2} d x =$

TS EAMCET 2022 Easy
The number of common tangents to the circles $x^2+y^2+4 x=0$ and $x^2+y^2-2 x=0$ is

TS EAMCET 2018 Easy

Explore more questions on app

From TS EAMCET

If $f(x)=\int_1^x \frac{1}{2+t^4} d t$, then

TS EAMCET 2018 Medium
Let $f(x)=x^3+2 x^2-x$ be a real valued function. Then, the value of Lagrange's constant $C$ in $(-1,2)$ is

TS EAMCET 2018 Medium
$\alpha$ is a root of the equation $\frac{x-1}{\sqrt{2 x^2-5 x+2}}=\frac{41}{60}$. If $-\frac{1}{2} \lt \alpha \lt 0$, then $\alpha=$

TS EAMCET 2024 Medium
If $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$, then $A^{-1}=$

TS EAMCET 2018 Easy
Let $n \in N$ which one of the following is true?

TS EAMCET 2018 Easy
A $750 \mathrm{~kg}$ boat is $10 \mathrm{~m}$ long and is floating without motion on still water. A man of mass $80 \mathrm{~kg}$ is at one end and if he runs to another end of the boat and stops, the displacement of boat is

TS EAMCET 2021 Medium

Explore more questions on app

The approximate value of \(\sqrt{6560}\) is

Answer & Solution

Step-by-step Solution

See the Complete Solution