The equation of the parabola having focus at (−1,−2) and the direc – InterviewSolution

1.	The equation of the parabola having focus at (−1,−2) and the directrix x−2y+3=0 is ax2+bxy+cy2+gx+fy+16=0. If α and β are the roots of the equation gx2−fx+60=0, then the value of α3+β3 is
Answer» The equation of the parabola having focus at $(- 1, - 2)$ and the directrix $x - 2 y + 3 = 0$ is $a x^{2} + b x y + c y^{2} + g x + f y + 16 = 0$ . If $α$ and $β$ are the roots of the equation $g x^{2} - f x + 60 = 0$ , then the value of $α^{3} + β^{3}$ is

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