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JEE Main 20137 April
Exam
JEE Main
Year
2013
Date
7 April
Subject
Mathematics
Chapter
Circle

JEE Main 2013 · 7 April · Mathematics · Circle

The circle passing through ( 1, - 2 ) and touching the axis of x at...

The circle passing through (1,−2)( 1, - 2 ) and touching the axis of xx at (3,0)( 3, 0 ) also passes through the pointThe circle passing through ( 1, - 2 ) and touching the axis of x at ( 3, 0 ) also passes through the point

Options

  1. A(5,−2)\left(5, - 2\right)
  2. B(−2,5)\left(- 2, 5\right)
  3. C(−5,2)\left(- 5, 2\right)
  4. D(2,−5)\left(2, - 5\right)

Correct answer

A. (5,−2)\left(5, - 2\right)

Step-by-step solution

The circle passing through ( 1, - 2 ) and touching the axis of x at ( 3, 0 ) also passes through the point

Alt : Equation of circle

(x−3)2+(y+r)2=r2{( x - 3 )}^{2} + {( y + r )}^{2} = {r}^{2}

Passes through \left(1, - 2\right)<br/><br/><br /><br />∴ r = 2<br/><br/><br /><br />∴CircleCircle{( x - 3 )}^{2} + {( y + 2 )}^{2} = 4</p><p>Passesthrough</p><p>Passes through( 5, - 2 ).

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