To find:The point and on the parabola .
The value of the points and on the parabola are .
The given equation for parabola is .
The given equilateral triangle is shown in figure (1).
The parabola is .
The triangle is an equilateral shown in figure (2).
Each angle in triangle is equal to , the slope of the tangent which makes an angle of with positive x-axis.
The slope of the which makes an angle of with positive x-axis.
The slope of the tangent to the parabola at , are as.
Substitute for and, for in above equation.
Calculate the values of , points on parabola.
Substitute for in equation .
The points and are
Therefore, the value of the points and on the parabola are .
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