Circle

If $y$-axis touches the circle $x^2+y^2+g x+f y+\frac{c}{4}=0$, then the normal at this point intersects the circle at the point

The point on the parabola $y^2=4 a x$ nearest to the focus has its abscissa

The equation of a circle is $\left(x^2-4 x+3\right)+\left(y^2-6 y+8\right)=0$ Which of the following statements are correct? A. The end points of a diameter of the circle are $(1,2)$ and $(3,4)$. B. The end points of a…

Paragraph: A triangle ABC is inscribed in the circle $x^2+y^2=100 . \mathrm{B}$ and C have coordinates $(6,8)$ and $(-8,6)$ respectively. Question: What are the coordinates of A ?

The equation of the circle which passes through the points $(1,0),(0,-6)$ and $(3,4)$ is

For the equation $a x^2+b y^2+2 h x y+2 g x+2 f y+c=0$ where $a \neq 0$, to represent a circle, the condition will be

Passage: Consider the points $A(0,2)$, $B(2,3)$, $C(4,5)$ and $D(0,k)$. Question: If the points lie on a circle, then what is/are the possible value(s) of $k$ ?

Consider the following in respect of the circle $4 x^2+4 y^2-4 a x-4 a y+a^2=0$ : The circle touches both the axes. The diameter of the circle is 2 a . The centre of the circle lies on the line $x+y=a$. How many of the…

The radius of the circle $x^2+y^2+x+c=0$ passing through the origin is

What is the area enclosed by the equation $x^2+y^2=2$ ?

The equation of a circle whose end points of a diameter are $\left(\mathrm{x}_1, \mathrm{y}_1\right)$ and $\left(\mathrm{x}_2, \mathrm{y}_2\right)$ is

Which one of the following points lies inside a circle of radius 6 and centre at $(3,5)$ ?