Question

ice Problems:
Find the equation to the ellipse whose axes are of lengths 6 and 2 and their equations are
X - 3y + 3 = 0 and 3x + y - 1 = 0 respectively.
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Answer 1

Answer:

$x^{2} /9 +(y-1)^{2} /1$

Step-by-step explanation:

by solving the given two line equation,we get the center of ellipse.

x=0 and y=1

since 2a is the length of major axes ,so 2a=6.therefore a=3.

the length of minor axes 2b=2.b=1.

The general equation of ellipse wit centre (p,q) and length of major and minor axes as a,b respectively.

=$(x -p)^{2} /a^{2} +(y-q)^{2} /b^{2}$