Question 21/40: Set 1 - Try Out 2026 - Mathematics (TKA)

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A circle with center at the origin $O$ and radius $r$ is given. Points $A$ and $B$ lie on the circle such that $OA$ and $OB$ are radii.

Create a vector representation to prove that the tangent line of the circle at point $A$ is perpendicular to the radius $OA$ !

By showing that the dot product of position vector A and the direction vector of the tangent line at A is positive.

By showing that the cross product of position vector A and the direction vector of the tangent line at A is the zero vector.

By showing that the dot product of position vector A and the direction vector of the tangent line at A is zero.

By showing that position vector A and the direction vector of the tangent line at A have the same direction.

By showing that position vector A and the direction vector of the tangent line at A have the same length.

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