AB is a diameter of a circle. l_{1} and l_{2} | vedclass

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(A) Let $O$ be the center of the circle. Since $AB$ is the diameter,$OA$ and $OB$ are radii of the circle.By the property of tangents,a tangent at any

Vedclass · Accepted Answer

$l_{1} \parallel l_{2}$

Vedclass · Answer

(A) Let $O$ be the center of the circle. Since $AB$ is the diameter,$OA$ and $OB$ are radii of the circle.By the property of tangents,a tangent at any point of a circle is perpendicular to the radius through the point of contact.Therefore,$l_{1} \perp OA$ and $l_{2} \perp OB$.Since $A, O,$ and $B$ are collinear (as $AB$ is a diameter),the lines $OA$ and $OB$ form a single straight line $AB$.If two lines ($l_{1}$ and $l_{2}$) are perpendicular to the same line $(AB)$,then they must be parallel to each other.Thus,$l_{1} \parallel l_{2}$.

$AB$ is a diameter of a circle. $l_{1}$ and $l_{2}$ are tangents to the circle drawn at points $A$ and $B$ respectively. Then,which of the following is true?

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