match graph with the correct equation.

Question

(a) (x - 3)² + (y + 3)² = 9    (b) (x + 1)² + (y - 2)² = 4     (c) (x - 1)² + (y + 2)² = 4     (d) (x + 3)² + (y - 3)² = 9

 

Answer 1

Step 1:

Standard form of a circle is .

From the figure center of the circle

The distance between center and -intercept of  the circle is radius.

Step 2:

Calculate the distance between two points by using formula:

Substitute the values of and in the distance formula.

Radius .

Step 3:

Substitute the center and radius in standard form of the circle.

Solution:

Option (b) is correct.