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

2 thoughts on “Q. (2)Find the Equations of the tangents to the circle x2 + y2 = 9which are<br />parallel and perpendicular tox + 3y – 3 = 0.​”

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

   Reply

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

   Reply