Home
Class 11
MATHS
Find the value of lambda if the equation...

Find the value of `lambda` if the equation `(x-1)^2+(y-2)^2=lambda(x+y+3)^2` represents a parabola. Also, find its focus, the equation of its directrix, the equation of its axis, the coordinates of its vertex, the equation of its latus rectum, the length of the latus rectum, and the extremities of the latus rectum.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value of lambda if the equation (x-1)^(2)+(y-2)^(2)=lambda(x+y+3)^(2) represents a parabola.Also,find its equation of its directrix,equation of its axis, coordinates of the vertex equation of its latus rectum and extremities of the latus rectum

y^(2)+2y-x+5=0 represents a parabola. Find its vertex,equation of axis,equation of latus rectum,coordinates of the focus, equation of the directrix,extremities of the latus rectum,and the length of the latus rectum.

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = 6y

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2 = 12x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2 = 10x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2 = -8x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = 6y

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y=-12x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = -9y