Question

Select the correct answer.

Answer 1

The general form of the equation for the given circle centered at O(0, 0) is x² +y² - 41=0.

The correct option is (B).

What is equation of circle?

The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

as, general equation for a circle is ( x - h )² + ( y - k )² = r²

Here,  centered at O(0, 0).

So,

a =0 and b = 0

now, r² = (BO)²

r² = (4-0)² +(5-0)²

r²  = 16+25

r² = 41

Hence, Center at the origin passing through B(4, 5) is x² +y² = 41.

Learn more about equation of circle here:

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