Home
Class 12
MATHS
find the radius of director circle of au...

find the radius of director circle of auxilliary circle of ellipse `(3x+4y-1)^(2)+5(4x-3y+2)^(2)=250` is __________

Text Solution

AI Generated Solution

To find the radius of the director circle of the auxiliary circle of the given ellipse, we will follow these steps: ### Step 1: Rewrite the given equation The given equation is: \[ (3x + 4y - 1)^2 + 5(4x - 3y + 2)^2 = 250 \] We can rewrite this in a more standard form by dividing the entire equation by 250: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

If radius of the director circle of the ellipse ((3x+4y-2)^(2))/(100)+((4x-3y+5)^(2))/(625) =1 is

The radius of the director circle of the hyperbola (x^(2))/(a(a+4b))-(y^(2))/(b(2a-b))=12a>b>0 is

Equation of director circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

Find the equation of the ellipse whose auxilliary circle is the director circle of the ellipse x^2/36+y^2/13=1 and the length of a latus rectum is 2 units.

The radius of the circle of intersection of the sphere x^2 +y^2 +z^2=9 by the plane 3x +4y +5z=5 is

Find the centre and radius of each of that circles : (x - 1/2)^2 + (y + 1/3)^2 = 1/4

Find the centre and radius of each of that circles : x^2 + y^2 - 2x + 4y =8