if A is directly proportional to C and B is directly proportional to C,prove that each of the following is directly proportional to C
a)A+B
b)A-B
c)√AB
Answers
Answer:
c)AB answer right or wrong
Given : A is directly proportional to C and B is directly proportional to C
To Find : prove that each of the following is directly proportional to C
Solution:
A is directly proportional to C
A ∝ C
=> A = mC
m is constant
B is directly proportional to C
B ∝ C
=> B = nC
n is constant
A + B = mC + nC
=> A + B = ( m + n ) C
m + n is constant
=> A + B ∝ C
A - B = mC - nC
=> A - B = ( m - n ) C
m - n is constant
=> A - B ∝ C
√AB = √mCnC
=> √AB = √mn *C
√mn is contant
Hence √AB ∝ C
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