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Co-normal points

The centroid ...

Question

The centroid of the triangle formed by 3 co-normal points lies on the axis of parabola.

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Q. For a parabola

y^{2} = 4 x

, if the point of intersection of co-normals is

(15, 12)

, then what is the centroid of triangle formed by co-normal points ?

Q. From the point

(15, 12),

three normals are drawn to the parabola

y^{2} = 4 x,

then centroid of triangle formed by three co-normal points is

Q. The centroid of the triangle formed by the points

(1, a), (2, b)

(c^{2}, - 3)

lies on the x-axis, then

Q. The centroid of the triangle formed by the feet of the normals from the point

(h, k)

to the parabola

y^{2} + 4 a x = 0, (a > 0)

Q. Three normal are drawn from point

(5, 0)

y^{2} = 4 x

. The centroid of the triangle formed by feet of these three normals is

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