Home
Class 12
MATHS
Consider the equation (x^2)/(a^2+lambda)...

Consider the equation `(x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1,` where a and b are specified constants and `lambda` is an arbitrary parameter. Find a differential equation satisfied by it.

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

Prove that the family of curves x^2/(a^2+lambda)+y^2/(b^2+lambda)=1 , where lambda is a parameter, is self orthogonal.

Form the differential equation satisfied by (x-a)^2+(y-b)^2=r^2 , where a and b are arbitrary constants.

Find the value of lambda if the equation x^2/(2-lambda)+y^2/(lambda-5)+1=0 represents an ellipse.

Form the differential equation corresponding to y^2=a(b-x)^2 ,where a and b are arbitrary constant.

Form the differential equation corresponding to y^(2)=a(b-x)^(2), where a and b are arbitrary constant.

The locus of the point x=a+lambda^(2),y=b-lambda where lambda is a parameter is