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If a,x(1), x(2), x(3) …..and b, y(1), y(...

If `a,x_(1), x_(2), x_(3)` …..and b, `y_(1), y_(2)`, …..form two infinite A.P's with common difference p and q respectively then the locus of P(h, k) when
`h=(x_(1)+x_(2)+x_(3)……+x_(n))/(n)`,
`k=(y_(1)+y_(2)+……..+y_(n))/(n)` is

A

`q(x-a)=p(y-b)`

B

`p(x-a)=q(y-b)`

C

`p(x+a)=q(y+b)`

D

`p(y+a)=q(x+b)`

Text Solution

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The correct Answer is:
A
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