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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
Let the coordinates of PP be (x,y)(x, y) and of QQ be (α,β)(\alpha, \beta) where α\alpha is the geometric and β\beta is the arithmetic mean of the coordinates of PP. If the mid point of PQP Q is (42,31)(42,31) the coordinates of PP are
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Correct option: B
(49,25)(49,25)
Option B ((49,25)) is correct because it satisfies both the geometric and arithmetic mean conditions derived from the midpoint formula.

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