Let C C C be the circle x 2 + y 2 + 4 x − 6 y − 3 = 0 x^2 + y^2 + 4x - 6y - 3 = 0 x 2 + y 2 + 4 x − 6 y − 3 = 0 , and L L L be the locus of the point ...

CAT Medium Circles MCQ

Question

Let

C

be the circle

x^2 + y^2 + 4x - 6y - 3 = 0

, and

L

be the locus of the point of intersection of a pair of tangents to

C

with the angle between the two tangents equal to

60^\circ

. Then, the point at which

L

touches the line

x = 6

is:

(6,4)

(6,8)

(6,3)

(6,6)

cat 2023tangentslocusgeometry problems

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