Question

Find the centre and radius of the circle.
4x2+4y2-24x-8y-24=0​

Answer 1

$\large \sf { \underline{ \underline \green{Given:- }}}$

$\sf \: 4x² + 4y² - 24x - 8y - 24 = 0$

$\large \sf { \underline{ \underline \orange{Solution:-}}}$

$\sf \mapsto \: x² + y² - 6x - 2y − 6 = 0$

$\sf \mapsto \: (x - 3)² - 9+ (y − 1)² − 1 − 6 = 0$

$\sf \mapsto(x-3)² + (y - 1)² = 16 \\ \sf \mapsto \: 4² \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\star{ \underline{ \boxed{ \sf \pink{Radius = 4, Centre (3, 1)}}}}$

Answer 2

Step-by-step explanation:

Radius=4,Centre(3,1)