1.

x^(2)+y^(2)+2x+4y-20=0andx^(2)+y^(2)+6x-8y+10=0 are the given circles. Which one of the following is correct?

Answer»

They INTERSECT ORTHOGONALLY and will have two common tangents. The LENGTH of their common chord is `(5sqrt3)/sqrt2`
They intersect at right angles and will have two common tangents. The length of their common chord is 2
They do not intersect orthogonally and will have three common tangents. The length of their direct common tangent is 5
They touch each other internally and will have only one common tangent

Answer :A


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