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The minimum distance of 4x 2 +4y 2 +4x-4y+5=0 from the line -4x+4y=3 is_______________?

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

Grade:12th Pass

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
10 years ago

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).

ankitesh gupta
63 Points
9 years ago

 

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