Circle

In a circle of diameter 44 cm , the length of a chord is 22 cm . What is the length of minor arc of the chord?

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 is $\angle \mathrm{BAC}$ equal to?

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

The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line

A chord subtends an angle $120^{\circ}$ at the centre of a unit circle. What is the length of the chord?

The two circles $x^2+y^2=r^2$ and $x^2+y^2-10 x+16=0$ intersect at two distinct points. Then which one of the following is correct?

What is the equation of the circle which passes through the points $(3,-2)$ and $(-2,0)$ and having its centre on the line $2 x-y-3=0$ ?

If a circle of radius bunits with centre at $(0, b)$ touches the line $y=x-\sqrt{2}$, then what is the value of $b$ ?

Paragraph: The line $y=x$ partitions the circle $(x-a)^2+y^2=a^2$ in two segments. Question: What is the area of minor segment?

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

What is the length of the chord of a unit circle which subtends an angle $\theta$ at the centre?

Consider the points $\mathrm{P}(4 k, 4 k)$ and $\mathrm{Q}(4 k,-4 k)$ lying on the parabola $y^2=4 k x$. If the vertex is A , then what is $\angle \mathrm{PAQ}$ equal to?