Q. 133.9( 7 Votes )

Find the eq

Answer :

Given that we need to find the equations of the lines joining the vertex to the point whose abscissa is 24 on the parabola y2 = 6x.



We know that for a parabola y2 = 4ax, the vertex is (0, 0).


So, the vertex of the parabola y2 = 6x is (0, 0).


Let us assume the point on parabola be (24, l).


Substituting in the parabola we get,


l2 = 6(24)


l2 = 144



l = ±12.


The points on the parabola is (24, ±12).


Let us find the equation of the line passing though the points (0, 0) and (24, 12).


We know that the equation of the straight lines passing through the points (x1, y1) and (x2, y2) is




x = 2y.


The equation of the line is x = 2y.


Let us find the equation of the line passing though the points (0, 0) and (24, - 12).


We know that the equation of the straight lines passing through the points (x1, y1) and (x2, y2) is




x = - 2y.


The equation of the line is x = - 2y.


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