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Find the equations of the circles whose centers lie on the line 4x + 3y = 2 and which touch the lines x + y + 4 = 0 and 7x - y + 4 = 0 There are 2 solutions to this question...

Find the equations of the circles whose centers lie on the line 4x + 3y = 2 and which touch the lines x + y + 4 = 0 and 7x - y + 4 = 0
 
There are 2 solutions to this question...

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1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
4x + 3y =2

y= (2-4x)/3

Centre will be of the form ( a, (2-4a)/3 )
Find the distance of this point from 2 lines given and equate as both the lines are touching, distance will be radius.
Get the value of a
You will get centre and radius.

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