A level Year 12 Maths HELP

Hi ^^ Can you help with this. I do not know whether it is an error in the book but try solving these two simultaneously please:
x^2 + y^2 + 8x - 2y - 3 =0
x - 2y - 12 =0

Reply 1

mqb2766

21

Original post by Daisiee

Hi ^^ Can you help with this. I do not know whether it is an error in the book but try solving these two simultaneously please:
x^2 + y^2 + 8x - 2y - 3 =0
x - 2y - 12 =0

If you factorize the quadratic into a circle, or plot both curves in desmos, its fairly clear they dont intersect.
If there is a solution in the textbook, maybe post it as well as there may be a typo error in one of the equatoins.

(edited 2 years ago)

Reply 2

Daisiee

OP

4

Original post by mqb2766

If you factorize the quadratic into a circle, or plot both curves in desmos, its fairly clear they dont intersect.
If there is a solution in the textbook, maybe post it as well as there may be a typo error in one of the equatoins.

The answers in the book are x=6 and y=-3

Reply 3

mqb2766

21

Original post by Daisiee

The answers in the book are x=6 and y=-3

What is the full question as that refers to a single point. You'd normally expect two points when a line intersects a circle. It is a tangent point?
Note that llies on the line, but not the circle.