Question

The center of the ellipse (x + y – 2)² /9 + (x – y)² /16 = 1 is
(a) (0, 0)
(b) (0, 1)
(c) (1, 0)
(d) (1, 1)​

Answer 1

Answer:

$\huge\pink{AnSwer}$

==>(d) (1, 1)$\rm\underline\bold{:\orange{\huge{\checkmark}}}$

Explanation:-

The center of the given ellipse is the point of intersection of the lines

x + y – 2 = 0 and x – y = 0

After solving, we get

x = 1, y = 1

So, the center of the ellipse is (1, 1)

Answer 2

Answer:

$\huge\pink{AnSwer}$

==>(d) (1, 1)$\rm\underline\bold{:\orange{\huge{\checkmark}}}$

Explanation:-

The center of the given ellipse is the point of intersection of the lines

x + y – 2 = 0 and x – y = 0

After solving, we get

x = 1, y = 1

So, the center of the ellipse is (1, 1)