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Parabola question

2011 · Shift 2 · Q26
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  5. /2011 · Shift 2 · Q26

Parabola question

2011 · Shift 2 · Q26

JEE AdvancedMathematicsParabolaMCQ+3 / −0.75
Let (x,y)(x, y)(x,y) be any point on the parabola y2=4x{y^2} = 4xy2=4x. Let PPP be the point that divides the line segment from (0,0)(0, 0)(0,0) to (x,y)(x, y)(x,y) in the ratio 1:31 : 31:3. Then the locus of PPP is
  1. A
    x2=y{x^2} = yx2=y
  2. B
    y2=2x{y^2} = 2xy2=2x
  3. C
    y2=x{y^2} = xy2=x
  4. D
    x2=2y{x^2} = 2yx2=2y
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