Question

3. A circle in the xy-plane has equation (x+ 5)² + (y - 1)² = 36. Which of the following points lie on the circle? A) (-5,-4) B) (-3,-5) C (5,-1)​

Answer 1

Step-by-step explanation:

Centre lies on the line y−4x+3=0

Let x=h

⇒y=4h−3

So the center is of the form (h,4h−3)

Distance of centre from (2,3) and (4,5) will be equal

h−2)² +(4h−3−3)² =(h−4)² +(4h−3−5)²

⇒h=2

So the centre is (2,5)

$r = \sqrt{(2 - 2) {}^{2} + (5 - 3) {}^{2} } = 2$

So the equation of the circle is

(x−2)²+(y−5)² =2²

X² +Y² −4x−10y+25=0