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Question

Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?

A
(4,4)
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B
(6,42)
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C
(5,26)
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D
(8,6)
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Solution

The correct option is D (8,6)
Given :
Vertex is (2,0)
Here, a=2
Equation of the parabola will be (y0)2=42(x2)
y2=8(x2) .........(1)
All the options satisfy (1) except option (d).
(8,6) does not lie on the parabola.

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