Analytical Geometry

ashish banga's Avatar
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5 May 2008 15:03:02 IST
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Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Analytical Geometry

locus of the centres of the circles touching the line 3x - 4y +1 =0 and 12x + 5y -3 =0



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Akhil's Avatar

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5 May 2008 15:04:48 IST
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it should be same as the combined equation of the lines bisecting the angle between given pair of lines

ashish banga's Avatar

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5 May 2008 15:11:29 IST
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how
PRATHAB MASTER's Avatar

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5 May 2008 15:26:42 IST
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the perpendiculars drawn from any point on the angle bisectors of any two lines meets the lines at equal distance.


this distance will the radius of the circle needed.


so the required locus is the pair of angle bisectors of the two lines.

joy francis's Avatar

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5 May 2008 15:33:50 IST
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3x + 11y  - 4 = 0




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