24. A straight line y = x +1 intersects an ellipse ax +2y-by-18=0 at (2,3) and...

  

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24. A straight line y = x +1 intersects an ellipse ax +2y-by-18=0 at (2,3) and (-2,-1) (a) Find the values of a and b. (b) Hence, find the general equation of a parabola with a vertex at the point (a,b), passing through the point (2,3). The axis of the parabola is parallel to the y-axis. 24. A straight line y = x +1 intersects an ellipse ax +2y-by-18=0 at (2,3) and (-2,-1) (a) Find the values of a and b. (b) Hence, find the general equation of a parabola with a vertex at the point (a,b), passing through the point (2,3). The axis of the parabola is parallel to the y-axis.