Identify the types of cuves with represent by the equation $\frac { { x }^{ 2 } }{ 1-r } -\frac { { y }^{ 2 } }{ 1+r } =1$, where $r>1$

is _______________.

3(x - 1)² + 4y² = 12 সমীকরনটি কী বর্ণনা করে? 

If the equation $ax^{2}-6xy+y^{2} ; + 2gx+2fy+c=0$ represents a pair of line whose slopes are $m$ and $m^{2}$, then sum of all possible values of $a$ ; is-

Three sides of a triangle have the equations $L_{r} = y - m_r x - C_{r} = 0; r = 1, 2, 3$. Then $\lambda L_{2}L_{3} + \mu L_{3}L_{1} + \gamma L_{1}L_{2} = 0$. where $\lambda \neq 0, \mu \neq 0, \gamma \neq 0$, is the equation of circumcircle of triangle if

Find the equation of the circle whose centre is the point of intersection of the lines $2x-3y+4=0$ and $3x+4y-5=0$ and passes through the origin.