The centre of circle which touch the y-axis at (0,3) and making an intercept of 2 units on the positive x-axis, is:
(a) (10,sqrt{3})
(b) (sqrt{3},10)
(c) (sqrt{10},3)
(d) (3,sqrt{10})
how to solve this question
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- kvcpk
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It is given that the circle touches the y-axes at (0,3)zareentaj wrote:The centre of circle which touch the y-axis at (0,3) and making an intercept of 2 units on the positive x-axis, is:
(a) (10,sqrt{3})
(b) (sqrt{3},10)
(c) (sqrt{10},3)
(d) (3,sqrt{10})
Which means y-axis is perpendicular to the line drawn from centre to (0,3)
This means that y-coordinate of the centre will be 3.
pick C
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KVCPK ... That was my initial approach too ... But, distance of OA is not equal to OB assuming that A is (0.3) and B is (2,0) ... Hence, I suppose c is not the answer ..
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
Thanks, give explanation...kvcpk wrote:It is given that the circle touches the y-axes at (0,3)zareentaj wrote:The centre of circle which touch the y-axis at (0,3) and making an intercept of 2 units on the positive x-axis, is:
(a) (10,sqrt{3})
(b) (sqrt{3},10)
(c) (sqrt{10},3)
(d) (3,sqrt{10})
Which means y-axis is perpendicular to the line drawn from centre to (0,3)
This means that y-coordinate of the centre will be 3.
pick C
- kvcpk
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- Joined: Sun May 30, 2010 11:48 pm
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Yeah you are right. I see what you are saying. But I dont see any option satisfying this.4GMAT_Mumbai wrote:KVCPK ... That was my initial approach too ... But, distance of OA is not equal to OB assuming that A is (0.3) and B is (2,0) ... Hence, I suppose c is not the answer ..
Moreover, I have a logical query with this question. Any number of circles can be drawn passing through 2 points. How can there be a single centre?
May be the question is missing something.