Find the equation to the cone whose vertex is the point (a,b,c) and whose generating lines

Question

Find the equation to the cone whose vertex is the point (a,b,c) and whose generating lines
intersects the conic px2
+ qy2
= 1, z = 0.

Steve · Answer

I think this will be a good place to start. The answer is given, and you can surely find your way there.

https://books.google.com/books?id=uwDfHbyl1IMC&pg=SL22-PA420&lpg=SL22-PA420&dq=Find+the+equation+to+the+cone+whose+vertex+is+the+point+(a,b,c)+and+whose+generating+lines+intersects+the+conic+px2+%2B+qy2&source=bl&ots=mE5TWchazF&sig=oOLM6wUqC9yTZcDi7LK36Dw63AI&hl=en&sa=X&ved=0ahUKEwi-wY3y8ebYAhVrjK0KHXUvDMQQ6AEIKTAA#v=onepage&q=Find%20the%20equation%20to%20the%20cone%20whose%20vertex%20is%20the%20point%20(a%2Cb%2Cc)%20and%20whose%20generating%20lines%20intersects%20the%20conic%20px2%20%2B%20qy2&f=false

Narender · Answer

Good

Nisha · Answer

find the equation to the cone whose vertex is the point (a,b,c) and whose generating lines intersects the conic px2+by2+cz2=0