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If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of a circle.

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of a circle.

Grade:12

2 Answers

RAJORSHI PAUL
36 Points
9 years ago

observe that the gven lines are parallel with slope 3/4.

So the distance between the two lines which is equal to 11/5 will give us the diameter of the circle.

Hence radius will be 11/10=1.1

ram yadav
16 Points
9 years ago

By observing the eqn of the Tangent we see that those two tangent are parallel to each other therefore  distance between them=2 times  of radius

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