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If the number p is 5 more than q and the...

If the number p is 5 more than q and the sum of the squares of p and q is 55, then the product of p and q is

A

10

B

`-10`

C

15

D

`-15`

Text Solution

Verified by Experts

The correct Answer is:
C
`p=q+5`
`implies p-q=5`
`implies (p-q)^2=5^2`
`=p^2+q^2-2pq=25`
`55-25=2PQ`
`implies 2PQ=30`
`implies PQ=30/2`
`:. PQ=15`
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