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Question

There are 2 questions titled A and B and there are 6 answers numbered from 1 to 6. In each of the answer options, each question is matched with an answer. Pick the correct match from the answer options.

A -     What is the shortest distance between center of a circle and tangent?

B -     What is the shortest distance between a point and a line?

1. Radius
2. Secant
3. Perpendicular
4. Chord
5. Arc
6. Tangent
  1. A - 1

  2. B - 3

  3. A - 4

  4. B - 2


Solution

The correct options are
A

A - 1


B

B - 3


The shortest distance between a point and a line is the perpendicular drawn to the line from the point.

A tangent touches a circle at only one point. This point lies on the circumference and is called point of contact. Any other point on the tangent lies outside circle. The distance between centre and point of contact is radius. Radius will always be shorter than line segment joining centre and a point outside circle. Hence radius is the smallest distance between centre of circle and tangent drawn on same circle.

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