If `(alpha,alpha-1)` lies inside the ellipse `16x^(2)+9y^(2)-16x=0`, then the range of `alpha` is `((9)/(25),k)` then

If the point (alpha, alpha^(4)) lies on or inside the triangle formed by lines x^(2)y+xy^(2)-2xy=0 , then the largest value of alpha is .

If x cos alpha +y sin alpha = 4 is tangent to (x^(2))/(25) +(y^(2))/(9) =1 , then the value of alpha is

If two distinct tangents can be drawn from the point (alpha, alpha+1) on different branches of the hyperbola (x^(2))/(9)-(y^(2))/(16)=1 , then find the values of alpha .

The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

If tangent of y^(2)=x at (alpha,beta) , where betagt0 is also a tangent of ellipse x^(1)2y^(2)=1 then value of alpha is

The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

The ellipse (x^(2))/(25)+(y^(2))/(16)=1 and the hyperbola (x^(2))/(25)-(y^(2))/(16) =1 have in common

If x=2alpha+1\ a n d\ y=alpha-1 is a solution of the equation 2x-3y+5=0 , find the value of alpha

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=16, then the length SQ is

Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is