The eccentricity of the conic represented by `x^2-y^2-4x+4y+16=0` is 1 (b) `sqrt(2)` (c) 2 (d) `1/2`

The eccentricity of the conic represented by 2x^2+5xy+2y^2+11x-7y-4=0 is

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is 2 (b) 2sqrt(3) (c) 4 (d) 4/5

Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80

The eccentricity of the ellipse 9x^2+25 y^2-18 x-100 y-116=0 is 25//16 b. 4//5 c. 16//25 d. 5//4

x+2y+4=0,3x=-4y-16

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

The eccentricity of the hyperbola |sqrt((x-3)^2+(y-2)^2)-sqrt((x+1)^2+(y+1)^2)|=1 is ______

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (x^2-y^2)=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)