Question

which two of the following are the coordinates of square whose sides are parallel to the coordinates axes and is inscribed in a circle with the equation X2+y2 - 4x +6y+5=0​

Answer 1

Answer:

Correct option is

A

(5,0),(5,6),(−1,0),(−1,6)

x

2

+y

2

−4x−6y−5=0

(x−2)

2

−4+(y−3)

2

−9−5=0

(x−2)

2

+(y−3)

2

=18

centre (2,+3) radius =

18

=3

2

If a square is inscribe in circle,

⇒ diagonal of square =diameter

2

a=2(radius)

2=2×3

2

⇒a=6

∴ Side of the square is 6

Since the side are parallel to x and y

the vertices one equidistant from the centre.

(2+3,+3+3),(2−3,+3+3),(2−3,+3−3) and (2+3,+3−3)

⇒(5,6),(−1,6),(−1,0),(5,0)