UPTET Feb 2014, q133
0. LCM and HCF of two numbers p and q are P and Q, respectively.
If P - p = q - Q, then
- Option : A
- Explanation : For two numbers p and q having LCM and HCF as P and Q respectively, we have pq = PQ
Given, p - P = q - Q
⇒ p + q = P + Q
Squaring on both sides, we get
p2 + q2 + 2pq = P2 + Q2 + 2PQ
⇒ p2 + q2 = P2 + Q2 [as pq=PQ].
