Home
Class 11
MATHS
Find the range of parameter a for which ...

Find the range of parameter `a` for which a unique circle will pass through the points of intersection of the hyperbola `x^2-y^2=a^2` and the parabola `y=x^2dot` Also, find the equation of the circle.

Promotional Banner

Similar Questions

Explore conceptually related problems

The point of intersection of the circle x^(2) + y^(2) = 8x and the parabola y^(2) = 4x which lies in the first quadrant is

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is

A circle passes through the origin and has its center on y=x If it cuts x^2+y^2-4x-6y+10=- orthogonally, then find the equation of the circle.

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

Find the equation of the smallest circle passing through the intersection of the line x+y=1 and the circle x^2+y^2=9

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

Find the equation of the line passing through the points of intersection of 4x-y-3=0 and x+y-2=0 and perpendicular to 2x-5y+3=0.

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0