Circles in less than 22 minutes • A-Level Maths, Pure Year 1, Chapter 6 📚

[@BicenMaths]

Small error at 7:18 - I wrote 4x^2 when I should have just written 4x. The rest of the question is not affected by this slip up! :)

[@GCSEALevelMaths2025]

These are really good nice job sir!!

[@OC74.]

This is saving me thank you so much

[@birbboy927]

Ah yes, im so happy the best maths teacher is finally posting again

[@wid4916]

Hey Sir, I was wondering if you needed to include the k

[@BicenMaths]

Yes, you would - I think I included it, though?

[@hashimabbas6731]

For the first question when finding the discriminant isn’t 4x^2 meant to be 4x

[@BicenMaths]

Yes! I appreciate you pointing this out and have just pinned a comment letting people know this - luckily it doesn't affect the rest of the question, and was just a small error!

[@ahmadabdur-rahman3150]

These are so helpfullllll

[@z8731]

Hi sir, would you know how to answer a question on circles like the one in the 2024 edexcel paper 2? Where it asked to find the radius of a circle given that it intersects another one?

[@BicenMaths]

Yes... I would approach this graphically, NOT algebraically (which is why I didn't cover algebraic intersection of two circles here, as there is another approach!). Draw both the circles and start to reason with the radius of them... the question was asking about the radius of one of them in order to have intersections, I believe. Diagram is key!

[@user-bq7ks6cl1s]

13:18 could you use dot product?

[@BicenMaths]

Potentially, yes, but I don’t like to discuss FM content in this videos to keep it as clear as possible! :)

[@aaryan8654]

Could you go over a circle example similar to the one in 2024 for 2 distinct intersections, I got it in my mock recently and it was kinda bizarre ☺

[@BicenMaths]

Yes, it was a strange one! It was actually a geometry question, imagining what the radius of the circles would need to be to have intersections, as we weren't actually interested in what the intersections were. I deliberately didn't include a method of how to find the intersection point of two circles in this video, as this isn't required and also wasn't the best approach to that question. Right now, the 2024 papers are locked, so I can't create videos using those questions, but hopefully I can address that skill elsewhere soon!

[@ssskizz8025]

1:32 Why are you subtracting 3/2 instead of 3

[@BicenMaths]

When we do completing the square, we always have +/- half the value of the x coefficient!