Question

is a diameter of circle K. If tangents to circle K are constructed through points L and J, what relationship would exist between the two tangents? Explain

Answer 1

Let 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 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.

Explanation: