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Q.

The maximum number of tangents to a circle that can be drawn from a point outside the circle is_____________

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a

2

b

1

c

0

d

Uncountable

answer is A.

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Detailed Solution

Two tangents can be drawn from a point that is outside the circle.

We'll start by drawing a circle diagram.

Then we'll draw a line outside the circle.

After that, we'll try to draw tangents to the circle and then count them to get our final answer.

Question Image

The maximum number of tangents that can be drawn to a circle from a point outside the circle is 2 .

The answer is obvious from the given figure, but there is another way to solve this question: assume a circle equation and a point outside the circle, then find the general equation of tangent to circle from the outside point, and then use this to get only two values of slope, proving that only two tangents can be drawn

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