Brilliant

Today Courses

Practice

Algebra
Geometry
Number Theory
Calculus
Probability
Basic Mathematics
Logic
Classical Mechanics
Electricity and Magnetism
Computer Science
Quantitative Finance
Chemistry

Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Geometry

Conic Sections

Concept Quizzes

Conics - Circle Standard Equation
Conics - Circle General Equation
Conics - Parabola - General
Conics - Parabola - Focus and Directrix
Conics - Ellipse - General
Conics - Ellipse - Foci
Conics - Hyperbola
Conics - Discriminant
Conic Sections - Problem Solving

Challenge Quizzes

Conic Sections: Level 2 Challenges
Conic Sections: Level 3 Challenges
Conic Sections: Level 5 Challenges

Conics - Circle General Equation

What is the equation of the circle that passes through the origin, has its center on the line $x+y=4,$ and cuts the circle $x^2+y^2-6x+16y+24=0$ orthogonally?

x^2+y^2-{8}x+{2}y=0

x^2+y^2-{8}x+{4}y=0

x^2+y^2-{8}x=0

x^2+y^2-{8}x+{6}y=0

Show explanation

View wiki

by Brilliant Staff

Find the sum of all possible values of $b$ such that the two points $(4, 0 )$ and $(- 4, 0)$ lie on the circle $x^2 + y^2 + ax + by +c =0$ with radius $6$ .