Find the centre coordinates, and radius of the circle with equation: x^2 + y^2 +6x -8y = 24

Firstly, rearrange the equation to group the 'x' terms together, and the 'y' terms together.x^2 + 6x + y^2 -8y = 24'Complete the square' on each of the x and y groups:(x + 3)^2 - 9 + (y - 4)^2 - 16 = 24Rearrange to standard form(x + 3)^2 + (y - 4)^2 = 49 = 7^2 Which is the equation of a circle radius 7, centre (-3, 4)

SN

Related Maths A Level answers

All answers ▸

Differentiate y = 4exp(6x) + cos(x) + 6x


Find the values of x and y for which dy/dx = 0 in y= x^3 - 4x^2 - 3x +2


A curve has equations: x=2sin(t) and y=1-cos(2t). Find dy/dx at the point where t=pi/6


Differentiate 3x^(3) + 7x^(2) -4x