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Question

Mathematics Question on Conic sections

Axis of a parabola lies along xx-axis. If its vertex and focus are at distances 22 and 44 respectively from the origin, on the positive xx-axis then which of the following points does not lie on it ?

A

(4,4)(4, -4)

B

(5,26)(5 , 2 \sqrt{6})

C

(8,6)(8, 6)

D

6,42 6 , 4 \sqrt{2}

Answer

(8,6)(8, 6)

Explanation

Solution

equation of parabola is
y2=8(x2)y^2 = 8 (x - 2)
(8,6)(8, 6) does not lie on parabola.