Question

the length of the tangent from (-2 5) to the circle x^(2)+y^(2)=20 is​

Answer 1

Answer:

Center of circle =(

2

5

,−2)

Radius of circle =r=

4

25

+4−k

As tangent is perpendicular to the radius, we apply Pythagoras theorem (see the figure)

⇒AO

2

=AP

2

+PO

2

⇒

4

1

+49=r

2

+37

⇒

4

197

=

4

25

+4−k+37

⇒k=13

Step-by-step explanation:

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