Question

25POINTS!!!

Answer 1

i. Let t be the line tangent at point J. We know that a tangent line at a  point on a circle, is perpendicular to the diameter comprising that certain point.

So t is perpendicular to JL

let l be the tangent line through L. Then l is perpendicular to JL

 

ii. So t and l are 2 different lines, both perpendicular to line JL.

2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.

Remark. Draw a picture to check the steps

Answer 2

JL is a diameter of circle K. If tangents to circle K are constructed through points L and J, then the two tangents will be parallel because the tangent at a point on a circle is perpendicular to the diameter.