Condition for Perpendicularity of Two Straight Lines
Let O be th...
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
A
x2=y
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B
y2=x
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C
y2=2x
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D
x2=2y
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Solution
The correct option is Bx2=2y Vertex of the parabola x2=8y is O(0,0)
And any point on the parabola is Q(4t,2t2)
Let P(h,k) divides the line segment OQ internally in the ratio 1:3