Finding points of intersection between a line and a circle

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In this video I have explained how you can find the point of intersection between a line and a circle in algebraic and graphical method and also shown how you can check your answer using a graphic calculator
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Great stuff. Thanks! This was the only point of the section that I was confused about and now I've got it. Plus, helped me with the quadratic formula.

msven
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Thanks for the video! This helped a great deal.

Tweeks, you can just take the absolute value of the negative number and find the squareroot of that, adding an "i" at the end. For example, the square root of -81 would be the square root of 81, but written as 9i ("i" standing for imaginary).

greglesky
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A straight line y=-x+4 cuts the parabola with equation y=16-x^2 at the points A and B.
a.Find the coordinates of A and B
b.Calculate the distance between the points A and B
c.Find the equation of the tangents at A and B, and hence determine where the tangents meet.
d.At the point where A and B meet, the line Q is perpendicular to the line B. find the equation of the lin

tobiaschapinda
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If I'm right (and you should check this) that situation corresponds to a line crossing the x and y axes OUTSIDE the circle. There's also a third case of a zero square root (i.e. a double root) that can arise and that corresponds to a grazing or tangent line of the circle.

[Good question, btw]

pauluk
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how did you get the coordinate( -1, 2)

Gnorap
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if there is brackets you should only distribute ...
the video is really helpful .

leenshammout
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Thank you! You explain it very well =)

MegaCellProductions
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what if the equation of circle has brackets?

jinali
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I Fucking love you man.... I didn't understand my teacher at all

loneplus
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Send me your specific problem. I would try to answer your question so that it would be helpful to you.

mattam
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thank you, thank you, thank you !!!!

matthewgreen
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Can you do the same video but instead the intersection of two circles?

xFoKe
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i didnt get the same x values as u when i used the quadratic equation???

khamisi__
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what if you end up with a negative number being square rooted

Tweekman
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Find the solution of: x= -1 and x² + y² = 0
Please would you help me...I'm a little bit confused. 🙏 ❤

AudreyToimina
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And if the circle center is not (0, 0)😠😭

unknown-bxmy