Question

If a is directly proportional to bc and b is directly proportional to ca, then show that c is a constant.​

Answer 1

Step-by-step explanation:

solution is in picture......

Answer 2

Answer:

a = kbc ( as a is directly proportional to bc ) and k is a proportionality constant

b = k' ca ( as b is directly proportional to ca ) and k' is a proportionality constant

then ab = kk'abc² ( multiplying those equations )

=> c² = 1/(kk') ( dividing ab from both sides )

=> c = 1/√(kk')

now 1/√(kk') is a constant as k and k' both are proportionality constant

so c is a constant

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