Question

DETERMINE THE EQUATION OF FG?

DETERMINE THE EQUATION OF THE CIRCLE

IF THE DISTANCE FROM F TO B IS SQUARE ROOT 69UNITS CALCULATE THE LENGTH OF FA

Answer 1

FG is y = -0.5x - 5.5. circle is (x - 1)² + (y + 1)² = 20. Length FA = 7

Explanation:

please see attached

only 5 attachments/pics allowed

so FA² = (√69)² - (√20)²

= 69 - 20

= 49

FA = √49 = 7

Answer 2

REF.Image.
⊥r distance of line 2x−5y+18=0 from point
(3,-1)
h=
∣
∣
∣
∣
​

2
2
+5
2

​

2×3−5(−1)+18
​

∣
∣
∣
∣
​
=
29
​

29
​
=
29
​

distance
⊥r of (h,k)from
ax+by+c=0 is
∣
∣
∣
∣
​

a
2
+b
2

​

ah+bk+c
​

∣
∣
∣
∣
​

Thus r
2
=h
2
+3
2
[Pythagoras theorem in △OAC]
r
2
=29+9
r
2
=38
Thus eq
n
of circle is (x−3)
2
+(y+1)
2
=38