A P Prabhakaran Solutions for Chapter: Conic Sections, Exercise 3: OBJECTIVE TYPE QUESTIONS

The area of the circle with centre at $(1,2)$ and passing through $(4,6)$ is

If the length of the major axis of an ellipse is $3$ times its minor axis, then eccentricity of the ellipse is

The equation of a circle with centre on $y-$axis and passing through the origin and the point $(2, 3)$ is

The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis equal to the half the distance between the foci is

The distance between the foci of a hyperbola is $16$ and the eccentricity $\sqrt{2}$ . Then the equation of the hyperbola is

The equation of the hyperbola with eccentricity $\frac{3}{2}$ and foci $(\pm 2,0)$ is

The equation of the hyperbola with the length of conjugate axis is $5$ and the distance between the foci is $13$ is

If an equilateral triangle is inscribed in the circle $4\left(x^2+y^2\right)+8(2x-y)+19=0,$ then length of the side is