What is the centre and radius of the circle x^2+y^2-6x+4y=-4

First make left =0x2+y2-6x+4y+4=0Second put same terms together(x2-6x)+(y2+4y)+4=0Complete the Square (do a square (X+b)2 that gives you you x2 and x terms, repeat with y) these give you the centre values(x-3)2=x2-6x+9(y+2)2=y2+4y+4Put in your completed squares minus the constant value as you only want the x2 and x term(x-3)2-9+ (y+2)2-4+4=0Rearrange to get the radius (put constants on right)(x-3)2+ (y+2)2=9Therefore centre (3,-2) radius = sqrt(9)=3

FC

Related Maths A Level answers

All answers ▸

A particle A of mass 0.1kg is moving at a speed of 1.5m/s to the right. It collides with a particle B of mass 0.3kg moving at a speed of 1.1m/s to the right. Calculate change in momentum of particle A if particle B has a speed of 1.4m/s after collision.


Rationalise the surd: 2/root(x)


Calculate the indefinite integral of ln(x)?


differentiate y=(4x^3)-5/x^2