Engineering
Mathematics
Standard Parabola
Question

Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of  P is

x2 = 2y

y2 = x

x2 = y

y2 = 2x

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Solution

h = t

2k = t2

h2 = 2k

⇒ x2 = 2y