Question

Q. (2)Find the Equations of the tangents to the circle x2 + y2 = 9which are
parallel and perpendicular tox + 3y - 3 = 0.​

Answer 1

Answer:

y=mx+c is tangent to a circle x

2

+y

2

=9

if c

2

=9(m

2

+1)

Given tangent is parallel to y=

4

−3x

+

2

1

⇒m=

4

−3

∴c

2

=9(

16

9

+1)

=

16

9×25

c=±

4

3×5

=±

4

15

∴ Tangents required :

y=

4

−3x

±

4

15

⇒4y+3x=±15

Answer 2

Step-by-step explanation:

y=mx+c is tangent to a circle x

2

+y

2

=9

if c

2

=9(m

2

+1)

Given tangent is parallel to y=

4

−3x

+

2

1

⇒m=

4

−3

∴c

2

=9(

16

9

+1)

=

16

9×25

c=±

4

3×5

=±

4

15

∴ Tangents required :

y=

4

−3x

±

4

15

⇒4y+3x=±15