If LCM of two prime numbers is pq and HCF is rs, then which of the following is true?
a. r+s=rs
b. r^2 s^2=1
c. r/s=rs
d. r+s=1
a. r+s=rs
b. r^2 s^2=1
c. r/s=rs
d. r+s=1
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Answer:
the LCM of two prime numbers is always equal to its product
as we know,
LCM × HCF = Product of two numbers
=> pq × rs = pq
=> rs = 1
=> r = 1/s
on squaring both the sides...
=> r² = 1/s². option b will be correct..
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