# Maths Homework: Simultaneous & Equation of a Circle?Watch

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#1
"Using the grid below (an -8x8 graph), design a simultaneous equations solution with one circle and one straight line that have no solutions.
Show that this is true graphically and using an algebraic method."

Any help would be appreciated as I have no idea.
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2 years ago
#2
(Original post by poppydoodle)
"Using the grid below (an -8x8 graph), design a simultaneous equations solution with one circle and one straight line that have no solutions.
Show that this is true graphically and using an algebraic method."

Any help would be appreciated as I have no idea.
Firstly, when you are solving two equations simultaneously, what do the pairs of solutions that you find actually represent graphically?
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#3
(Original post by RDKGames)
Firstly, when you are solving two equations simultaneously, what do the pairs of solutions that you find actually represent graphically?
They cross?
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2 years ago
#4
(Original post by poppydoodle)
They cross?
Yes, the solutions represent the points of intersection.

So when it comes to your question, what would it mean graphically if the line and the circle would have no solutions when you're solving them simultaneously?
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2 years ago
#5
no solution = no intersection

equation of a circle = (x-h)^2 + (x-k)^2 = r^2 where the centre is (h,k), r = radius

equation of straight line = y = mx+c
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