Card 1 of 22
A circle with centre [...]\text{[...]}[...] and radius rrr has equation (x−a)2+(y−b)2=r2(x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2.
A
Substitute it into the line equation to find yyy.
B
A circle with centre (a,b)\boxed{(a,b)}(a,b) and radius rrr has equation (x−a)2+(y−b)2=r2(x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2.
C
For ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0, the quadratic formula is x=−b±b2−4ac2a\boxed{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}x=2a−b±b2−4ac, and the discriminant is b2−4acb^2-4acb2−4ac.
D
The line has no real intersection with the circle.
Card 1 of 22
1.5.10 Intersection of a line and a circle Flashcards
22 flashcards on OCR (MEI) A Level Maths 1.5.10 Intersection of a line and a circle: the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.