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Find the number of possible common tange...

Find the number of possible common tangents of following pairs of circles
(i) `x^(2)+y^(2)-14x+6y+33=0`
`x^(2)+y^(2)+30x-2y+1=0`
(ii) `x^(2)+y^(2)+6x+6y+14=0`
`x^(2)+y^(2)-2x-4y-4=0`
(iii) `x^(2)+y^(2)-4x-2y+1=0`
`x^(2)+y^(2)-6x-4y+4=0`
(iv) `x^(2)+y^(2)-4x+2y-4=0`
`x^(2)+y^(2)+2x-6y+6=0`
(v) `x^(2)+y^(2)+4x-6y-3=0`
`x^(2)+y^(2)+4x-2y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) 4 (ii) 4 (iii) 2 (iv) 3 (v) 0
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