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# If a circle with center at the origin passes through the poi

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Intern
Joined: 11 Dec 2003
Posts: 49
Location: IN
Followers: 1

Kudos [?]: 6 [0], given: 0

If a circle with center at the origin passes through the poi [#permalink]  15 Apr 2005, 07:33
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If a circle with center at the origin passes through the point ( 0,5)
through which of the following points does it also pass?

A) 2, sqrt 21

B) 4,5

C) 5, sqrt 21

D) ( 5, 5)

E) ( 5, 12)
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

"A"

eqn of the circle.....x^2 + y^2 = 25...where the center is (0,0) and radius is 5

only A satisfies the above eqn for X,Y.
Intern
Joined: 11 Dec 2003
Posts: 49
Location: IN
Followers: 1

Kudos [?]: 6 [0], given: 0

Thanks banerjeea_98 you have the correct answer.

My math is a little rusty the eqn of the circle is X^2 + Y^2 = R^2 (R = Radius)

Is this the standard eqn of the circle irrespective if the center is origin (0, 0) or center is on any other quadrant e.g (2, 3) OR (-4,-6) The eqn is still the same, right ? Please clarify.
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

TS wrote:
Thanks banerjeea_98 you have the correct answer.

My math is a little rusty the eqn of the circle is X^2 + Y^2 = R^2 (R = Radius)

Is this the standard eqn of the circle irrespective if the center is origin (0, 0) or center is on any other quadrant e.g (2, 3) OR (-4,-6) The eqn is still the same, right ? Please clarify.

no generic eqn is (x-a)^2 + (y-b)^2 = r^2.....where r = radius and (a,b) is the center.
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