Home
Class 11
MATHS
Given two circles x^2 +y^2+3sqrt(2)(x+y)...

Given two circles `x^2 +y^2+3sqrt(2)(x+y)=0` and `x^2 +y^2 +5sqrt(2)(x+y)=0`. Let the radius of the third circle, which touches the two given circles and to their common diameter, be `(2lambda-1)/lambda` The value of `lambda` is

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Similar Questions

Explore conceptually related problems

If a circle passes through the points of intersection of the coordinate axes with the lines lambda x-y+1=0 and x-2y+3=0 then the value of lambda is.........

Find the equation of a circle of radius 5 which lies within the circle x^(2)+y^(2)+14x+10y-26=0 and which touches the given circle at the point (-1,3)

The equation of a circle is x^(2)+y^(2)=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

If the two circles (x-2)^(2)+(y+3)^(2) =lambda^(2) and x^(2)+y^(2) -4x +4y-1=0 intersect in two distinct points then :

If 2x-3y=0 is the equation of the common chord of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)+2 lambda y=0 then the value of lambda is

If the circle x^(2)+y^(2)-4x-6y+lambda=0 touches the axis of x, then determine the value of lambda and the point of contact

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is