the number of points on x-axis which are at a distance C units (C<0 3)from (2,3) is

Does (C<0 3) mean 3 units?

Yeah

Okay, all the points that lie 3 units from the point (2,3) will be on a circle of radius 3 units with centre at (2, 3).

Can you show where this circle meets the x-axis? And at how many points?

Thanks for trying... it's a wipro entrance question .
The options given are :
(a)1 (b)2 (c)0 (d)3

Be aware that we are not allowed to do your homework.

That said, this is the picture you should have:

http://www.wolframalpha.com/input/?I=Plot%3A+(x+-+2)^2+%2B+(y+-+3)^2+%3D+9

Or a zoomed in image:

http://www.wolframalpha.com/input/?I=Plot%3A+(x+-+2)^2+%2B+(y+-+3)^2+%3D+9+from+x+%3D+0+to+x+%3D+4%2C+y+%3D+0+to+ y+%3D+4

Can you tell at how many points the circle touches the x-axis?

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