The minimum distance of 4x²+4y²+4x-4y+5=0 from the line -4x+4y=3 is_______________?

Hi Menka,

The first equation is a circle.

And you have a line.

Concept for the problem:

Draw a perpendicula from the centre of the circle to the line.

Find the distance of the centre form the line.... {say this is "x"}

The minimum distance will be along the line from the centre and perpendicular to this straight line.

The required distance would be D = (x-r) --------- where r is the radius of the circle.

Kindly do the workings.

Hope this helps.

Best Regards,

Ashwin (IIT Madras).

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