Releted MCQ Question on
Geometry >> Circle
Releted Question 1
A square is inscribed in the circle $${x^2} + {y^2} - 2x + 4y + 3 = 0.$$ Its sides are parallel to the coordinate axes. The one vertex of the square is-
A.
$$\left( {1 + \sqrt 2 ,\, - 2 } \right)$$
B.
$$\left( {1 - \sqrt 2 ,\, - 2 } \right)$$
C.
$$\left( {1 - 2 ,\, + \sqrt 2 } \right)$$
D.
none of these
Releted Question 2
Two circles $${x^2} + {y^2} = 6$$ and $${x^2} + {y^2} - 6x + 8 = 0$$ are given. Then the equation of the circle through their points of intersection and the point $$\left( {1,\,1} \right)$$ is-
A.
$${x^2} + {y^2} - 6x + 4 = 0$$
B.
$${x^2} + {y^2} - 3x + 1 = 0$$
C.
$${x^2} + {y^2} - 4y + 2 = 0$$
D.
none of these
Releted Question 3
The centre of the circle passing through the point (0, 1) and touching the curve $$y = {x^2}$$ at $$\left( {2,\,4} \right)$$ is-
A.
$$\left( {\frac{{ - 16}}{5},\,\frac{{27}}{{10}}} \right)$$
B.
$$\left( {\frac{{ - 16}}{7},\,\frac{{53}}{{10}}} \right)$$
C.
$$\left( {\frac{{ - 16}}{5},\,\frac{{53}}{{10}}} \right)$$
D.
none of these
Releted Question 4
The equation of the circle passing through $$\left( {1,\,1} \right)$$ and the points of intersection of $${x^2} + {y^2} + 13x - 3y = 0$$ and $$2{x^2} + 2{y^2} + 4x - 7y - 25 = 0$$ is-
A.
$$4{x^2} + 4{y^2} - 30x - 10y - 25 = 0$$
B.
$$4{x^2} + 4{y^2} + 30x - 13y - 25 = 0$$
C.
$$4{x^2} + 4{y^2} - 17x - 10y + 25 = 0$$
D.
none of these
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Circle