The number of circles that touch all the straight lines x + y = 4 , x − y = − 2 and y = 2 is

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The number of circles that touch all the straight lines $x+y=4, x-y=-2$ and $y=2$ is

MathematicsStraight LinesAP EAMCETAP EAMCET 2001

Options:

A $1$
B $2$
C $3$
D $4$

Solution:

2132 Upvotes Verified Answer

The correct answer is: $4$

There are four circles can be drawn which touch all the lines.

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