13. The equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 istransformed to 4x2 +2y2 =1 when referred to the rectangular axesthrough the point (2, 3). Find the inclination of the latter axes to the former.

13. The equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 istransforme

1.	13. The equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 istransformed to 4x2 +2y2 =1 when referred to the rectangular axesthrough the point (2, 3). Find the inclination of the latter axes to the former.
Answer» -step explanation:When AXES are rotated through 45 0 ,x=xcosθ−ysinθ= 2 x−y y=xsinθ−ycosθ= 2 x+y 3x 2 +3y 2 +2XY=2⇒3( 2 x−y ) 2 +3( 2 x+y ) 2 +2( 2X 2 −y 2 )=23(x 2 +y 2 −2xy)+3(x 2 +y 2 +2xy)+2x 2 −2y 2 =44(2x 2 +y 2 )=4⇒2x 2 +y 2 =1

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13. The equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 istransformed to 4x2 +2y2 =1 when referred to the rectangular axesthrough the point (2, 3). Find the inclination of the latter axes to the former.​

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13. The equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 istransformed to 4x2 +2y2 =1 when referred to the rectangular axesthrough the point (2, 3). Find the inclination of the latter axes to the former.