The third proportional to (x2 - y2) and (x - y) is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. .
Concept used:
If we have a : b = c : d, then the term 'c' is the third proportional to 'a' and 'b'.
Calculations:
Let n be the third proportion.
⇒ (x2 - y2)/(x - y) = (x - y)/n
⇒ n = (x - y)(x - y)/(x2 - y2)
⇒ n = (x - y)(x - y)/(x + y)(x - y)
⇒ n = (x - y)/(x + y)