The focus of the parabola is the centre of the circle of radius . If the values of , for which passes through the point of intersection of the lines and , are and , then is equal to .

Question

The focus of the parabola  is the centre of the circle  of radius . If the values of , for which  passes through the point of intersection of the lines  and , are  and , then  is equal to .

Canvas Classes · Accepted Answer

🧠 The Question Has Three Hidden Steps — See Them Before Solving

Read the question slowly. There are three separate pieces of work here, and many students get lost because they try to do them at once.

First: get the focus of the parabola. The equation is , which is the same as . This is a parabola with vertex at  and , so . The focus is one unit to the right of the vertex, at .

Second: write down the circle. Centre is the focus , radius is . So circle is .

Third: find the intersection point

More questions from this chapter

More questions from this chapter