Question

2. When the axes are rotated through an angle 4 Find the trans- formed equation of 3x² +10xy+3y2 = 9. =​

Answer 1

Step-by-step explanation:

A conic equation of the type of

A

x

2

+

B

x

y

+

C

y

2

+

D

x

+

E

y

+

F

=

0

is rotated by an angle

θ

, to form a new Cartesian plane with coordinates

(

x

'

,

y

'

)

, if

θ

is appropriately chosen, we can have a new equation without term

x

y

i.e. of standard form.

http://philschatz.com/precalculus-book/contents/m49441.html