131k views
2 votes
prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^2 + y^2 = 5

User Mulone
by
8.1k points

1 Answer

5 votes

Explanation:

Find the point(s) of intersection

(2y+5)^2 + y^2 = 5

5 y^2 + 20 y + 20 = 0 Quadratic formula shows y = -2 only.....so the line only touches at ONE point and is thus tangential .

User Shivaughn
by
7.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories