If A varies as BC- then B varies inversely as CA-

Now as A #160;varies with BC then let A=k.BC we have, B= 1 k A C =l A C = 1 C A #160; #160; where l= 1 k #160; a c ...

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

Byju's Answer

Standard VI

Mathematics

Word Problems

If A varies...

Question

If $A$ varies as $B C$ , then $B$ varies inversely as $\frac{C}{A}$ .

Open in App

Solution

Now as $A$ varies with $B C$ then let $A = k . B C$

we have,

$B = \frac{1}{k} \frac{A}{C} = l \frac{A}{C} = \frac{1}{\frac{C}{A}}$

where $l = \frac{1}{k}$ a constant. So we can see $B$ varies inversely as $\frac{C}{A}$ .

Suggest Corrections

Similar questions

Q. If

A

varies as

B

and

C

jointly, while

B

varies as

D^{2}

, and

C

varies inversely as

A

, show that

A

varies as

D

a

varies directly as

b

and varies inversely as

c

. If

a = 30

when

b = 51

and

c = 36

. Then find the value of

a

when

b = 17

and

c = 18

Q. If

A

varies as

C

, and

B

varies as

C

, then

A \pm B

and

\sqrt{A B}

will each vary as

C

If x varies inversely as y, then

$\begin{matrix} x & □ & 60 y & 2 & 10 \end{matrix}$

Q. If

A

varies directly as the square root of

B

and inversely as the cube of

C

, and if

A = 3

when

B = 256

and

C = 2

, find

B

when

A = 24

and

C = \frac{1}{2}

Join BYJU'S Learning Program

If A varies as BC, then B varies inversely as CA.

Now as A varies with BC then let A=k.BCwe have,B=1kAC=lAC=1CAwhere l=1k a constant. So we can see B varies inversely as CA.

If $A$ varies as $B C$ , then $B$ varies inversely as $\frac{C}{A}$ .

Now as $A$ varies with $B C$ then let $A = k . B C$

we have,

$B = \frac{1}{k} \frac{A}{C} = l \frac{A}{C} = \frac{1}{\frac{C}{A}}$

where $l = \frac{1}{k}$ a constant. So we can see $B$ varies inversely as $\frac{C}{A}$ .