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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Analyzing +4 | -1
Let AA be the fixed point (0,4)(0,4) and B(2t,0)B(2 t, 0) be a moving point. Let MM be the mid-point of ABA B and let the perpendicular bisector of ABA B meet the yy-axis at RR. The locus of the mid-point PP of MRM R, is
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Correct option: C
y+x2=2y+x^2=2
Option C (y+x2=2y+x^2=2) is correct because it represents the locus of the midpoint P, derived from the given geometric conditions.

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