# The number of common tangents to the circles Option 1) 1 Option 2) 2 Option 3) 3 Option 4) 4

N neha
P Plabita

Common tangents of two circles -

When two circles touch  each other externally, there are three common tangents, two of them are direct.

- wherein

$C_1=(2,3)$

$C_2=(-3,-9)$

$C_1C_2=\sqrt{25+144}$

$r_1=\sqrt{4+9+12}= 5$

$r_2=\sqrt{9+81-26}= 8$

$\therefore r_1+r_2=C_1C_2$

3 Tangents for circle touching externally

Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Exams
Articles
Questions