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Visualizing Conics from Right Circular Cone

A circle and ...

Question

A circle and a parabola intersect at four points $(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})$ and $(x_{4}, y_{4})$ . Then $y_{1} + y_{2} + y_{3} + y_{4}$ is equal to

4

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0

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Solution

The correct option is D $0$
A circle and a parabola intersect at four points $(x_{1}, y_{1}); (x_{2}, y_{2}); (x_{3}, y_{3}); (x_{4}, y_{4})$ .
Then $y_{1} + y_{2} + y_{3} + y_{4}$ is equal to :
$y_{1} + y_{2} + y_{3} + y_{4} = {2 a t}_{1} + {2 a t}_{2} + {2 a t}_{3} + {2 a t}_{4} = 0$

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