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`p,x_(1), x_(2) ,. . . x_(n) and q, y_(1),y_(2), . . . ,y_(n)` are two arithmetic progressions with common differences a and b respectively. If `alpha and beta` are the arithmetic means of `x_(1), x_(2), . . . . X_(n), and y_(1), y_(2), . . . . Y_(n)` respectivley . then the locus of `p(alpha, beta)` is

A

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

B

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

C

`alpha (x - p) = beta (y - q)`

D

`p (x - alpha ) = q (y - beta)`

Text Solution

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The correct Answer is:
B
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