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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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In a right angled triangle ABCA B C right angled at CC : CA=a,CB=bC A=a, C B=b. If the angular points AA and BB slide along xx-axis and yy-axis respectively then CC lies on
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Correct option: B
ax±by=0a x \pm b y=0
Option A (bx±ay=0b x \pm a y=0) is correct because it represents the locus of point C as A and B slide along the axes, maintaining the right angle at C.

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