A -B and when A-16- B-64-If B-81- then find the value of A-

The correct option is A 18Given, A ∝√(B) Let the constant of variation be k. ⇒ A = k√(B) Given, at A = 16, B = 64. So,k = A/√(B) = 16/√(64) = 16/8 = 2. Hence ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Variation

A ∝√B and whe...

Question

$A \propto \sqrt{B}$ and when A = 16, B = 64.
If B = 81, then find the value of A.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 18
$G i v e n, A \propto \sqrt{B}$
Let the constant of variation be k.
$\Rightarrow A = k \sqrt{B}$
Given, at A = 16, B = 64.
$S o, k = \frac{A}{\sqrt{B}} = \frac{16}{\sqrt{64}} = \frac{16}{8} = 2.$
Hence, at B = 81, the value of $A = k \sqrt{B} = (2) (\sqrt{81}) = (2) (9) = 18.$

Suggest Corrections

Similar questions

Q. If

\sqrt{10 + \sqrt{64}} = \sqrt{a + 2 \sqrt{b}}

then value of

a

and

b

are

If a + b = 10 and ab = 16, find the value of $a^{2} - a b + b^{2} a n d a^{2} + a b + b^{2}$ .

Q. If 10^x = 64, what is the value of

10^{\frac{x}{2} + 1} ?

(a) 18
(b) 42
(c) 80
(d) 81

Q. Find the factor of

16 a^{4} - 81 b^{4}

Q. If the roots of the quadratic equation

x^{2} - 4 x - {log}_{3} a = 0

are real, then the least possible value of

a

Join BYJU'S Learning Program

A∝√B and when A = 16, B = 64. If B = 81, then find the value of A.

The correct option is A 18Given, A∝√B Let the constant of variation be k. ⇒A=k√B Given, at A = 16, B = 64. So,k=A√B =16√64=168=2. Hence, at B = 81, the value of A=k√B=(2)(√81)=(2)(9)=18.

$A \propto \sqrt{B}$ and when A = 16, B = 64.
If B = 81, then find the value of A.