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JEE MATHEMATICS MCQ: RATE MEASURE

1 Easy
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Application +4 | -1
A particle moves along the curve y=x2+2xy = {x^2} + 2x. Then, The point on the curve such that x and yx\,and\,y coordinates of the particle change with the same rate is
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Correct option: C
(−12,−34)\left( { - \frac{1}{2}, - \frac{3}{4}} \right)
Option C (−12,−34)\left( { - \frac{{1}}{{2}}, - \frac{{3}}{{4}}} \right) is correct because it satisfies the condition where the rates of change of x and y coordinates are equal.

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