The line $y = x + 6$ meets the curve $y^2 = x + 12$ at the points $A$ and $B$. Find the coor

Question

The line $y = x + 6$ meets the curve $y^2 = x + 12$ at the points $A$ and $B$. Find the coordinates of $A$ and $B$, the equation of the perpendicular bisector of $AB$.

Accepted Answer

(a) $ (-3,3) \text{ and } (-8,-2) $ (b)$y = -x - 5$

Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

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