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AP EAMCET202524 May 2025Morning ShiftMathematicsStraight LinesActual

A(a, 0) is a fixed point and is a parameter such that 0 < < 2 . If P ( a , a ) is a point on the circle x ^2+ y ^2= a ^2 and Q ( b ,- b ) is a point on the circle x^2+y^2=b^2 , then the locus of the centroid of the triangle APQ is

Options

  1. Aa circle with centre at ( a 3 , 0 ) and radius ( a ^2+ b ^2 3 )
  2. Ba circle with centre at (a, 0) and radius ( a^2+b^2 3 )
  3. Ca parabola with focus at ( a 3 , 0 )
  4. Da parabola with focus at (a, 0)

Correct answer

A. a circle with centre at ( a 3 , 0 ) and radius ( a ^2+ b ^2 3 )

Step-by-step solution

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