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Question

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

A - What is the shortest distance between the centre of a circle and tangent drawn to it?

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

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


A

A1, B3

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B

A3, B1

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C

A4, B3

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D

A2, B4

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Solution

The correct options are
A

A1, B3


B

A3, B1


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 the centre and a point outside the circle. Hence, radius is the smallest distance between centre of the circle and the tangent drawn on the same circle.


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