# maths c2 solomon paper E hardest question ever faced!!!!!Watch

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#1
hi guys; i CANNOT GET MY HEAD ROUND THIS UGLY QUESTION !!! so question is: The circle C has the equation
x^2 + y^2 +10x - 8y +k =0,
where k is a constant.
Given that the point with coordinates (−6, 5) lies on C,
(a) find the value of k, (2)
(b) find the coordinates of the centre and the radius of C. (3)
A straight line which passes through the point A (2, 3) is a tangent to C at the point B.
(c) Find the length AB in the form k 3 .

part A B is fine for me but part c is driving me insane! pls pls pls help !!
1
3 years ago
#2
Draw a triangle ABX where X is the centre. You know the length of XB, you can work out the length of AX. And this should allow you to find AB
1
3 years ago
#3
Draw a diagram, you should notice that it forms a right angle triangle with one side being the radius, the other being AB and the other being A-center, you can find the length of A-center and you know the radius, do some pythagoras and there you go ;p
1
3 years ago
#4
Yeah, find the length between the centre and A (because you know both of these co-ordinates), and the length between the centre and point B, which is just the radius, then you have yourself a right angled triangle with AB as the missing side so you can just use Pythagoras
1
#5
thank you !!
0
3 years ago
#6
I can't do part c) ? Anyone

Posted from TSR Mobile
0
3 years ago
#7
0
3 years ago
#8
As already stated, draw a diagram and you should end up with a right angled triangle, then use pythagoras to solve for the unknown side
0
3 years ago
#9
I have drawn but I can't find it

Posted from TSR Mobile
0
3 years ago
#10
0
3 years ago
#11
radius is root 2 so use pythagoras
0
3 years ago
#12
(Original post by Kawaii289)
radius is root 2 so use pythagoras
Thank you, I didn't realise

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0
3 years ago
#13
no problem
0
3 years ago
#14
(Original post by Fish40)
Thank you, I didn't realise

Posted from TSR Mobile
remember circle theorems is in the specification so remember those "laws".
0
3 years ago
#15
Can someone leave the answers of all the parts? ; a) b) and c) ?? PLEASE!
0
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