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 ?

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) (B) (5 , 2 √6) (C) (8, 6) (D)  6 , 4 √2

Tardigrade Admin · Accepted Answer

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

Q. 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 ?

$(4, - 4)$

$(5, 26)$

$(8, 6)$

$6, 42$

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

Q. 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 ?

(4,−4)

(5,26​)

(8,6)

6,42​