Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Evening shift · Q4698

JEE Main 202120 Jul, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

Let P be a variable point on the parabola

y = 4{x^2} + 1

. Then, the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y = x is :

JEE Main 2021 · 20 Jul, Evening shift · Q4698

JEE Main 202120 Jul, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

Let P be a variable point on the parabola

y = 4{x^2} + 1

. Then, the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y = x is :

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