1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# Circle

Asked by 15th March 2010, 1:59 AM

The given line x+y=52, has a slope of -1. It makes an angle 45 with x axis, on the given circle side.

Draw a perpendicular to this line from origin, and what we get is a right angled triangle, whose hypotenuse is the 52.

The perpendicular distance from the origin i.e. centre of the given circle onto the line, x+y = 52,

is, 52 sin45 = 5 and it's a line with slope 1, since it's perpendicular to the line of slope -1.

But this perpendicular distance will be,

Radius of the given circle + Diameter of the smallest circle required,

2 + d = 5

d = 3

And the smaller circle lies on this line, i.e. y = x,

The distance of the centre of smaller circle from origin, is 2+1.5 = 3.5.

Hence it's x coordinate, 3.5 sin 45 = 72/4.

Therefore, the coordinates of the smaller circle, (72/4, 72/4).

Regards,

Team,

TopperLearning.

Answered by Expert 15th March 2010, 11:18 AM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10

### Free related questions

25th March 2017, 8:24 PM
RELATED STUDY RESOURCES :