Equation of the Circle Using End Points of Diameter
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Which of the following equations represents a circle with centre (g, f) and radius √g2 + f2 + c ?
x2 + y2 + 2gx + 2fy + c = 0
x2 + y2 − 2gx − 2fy + c = 0
x2 + y2 + 2gx + 2fy − c = 0
x2 + y2 − 2gx − 2fy − c = 0
given equation : ax2+by2+cx+dy+e=0
Find the radius of the circle x2 + y2 − 2x + 4y − 11 = 0
Consider the points A(3, 2), B(9, 4), C(7, 10). Then the circle with AC as diameter doesn't pass through B.
False
True
The equation of the circle having (3, 3) and origin as the endpoints of its diameter is
x2+y2−3(x+y)=0
x2+y2−3x+y=0
(x+y)2−2xy−3(x+y)=0
(x+y)2+2xy−3x+y=0
The equation of the circle having (4, −1) and (2, −1) as the endpoints of its diameter is
x2+y2−x+2y+9=0
x2+y2−6x+2y−9=0
x2+y2+x+y−9=0
x2+y2−6x+2y+9=0
The equation of the circle having (−2, −1) and (2, 1) as the endpoints of its diameter is
x2+y2=5
x2−y2=5
x2+y2=−5
x2−y2=−5
Equation of the circle passing through (2, 3) and centre at the origin is _______ .
(x−2)2+(y−3)2=13
x2+y2=13
(x−3)2+(y−2)2=13
x2−y2=13
The equation of the circle having (6, 7) and (4, 3) as the endpoints of its diameter is
(x+y)2−2xy+45=0
(x2−y2−2xy+45=0
10(x+y)−2xy+45=0
(x+y)[(x+y)−10]−2xy+45=0
The equation of the circle having (−2, 1) and (4, −1) as the endpoints of its diameter is
x2+y2−2x−9=0
x2+y2−2x+9=0
x2+y2+2x+9=0
x2+y2+2x−9=0