The equation of the hyperbola whose centre is `(6,2)` one focus is `(4,2)` and of eccentricity 2 is (A) `3(x-6)^2-(y-2)^2=3` (B) `(x-6)^2-3(y-2)^2=1` (C) `(x-6)^2-2(y-2)^2=1` (D) `2(x-6)^2-(y-2)^2=1`

Find the equation of the hyperbola whose : focus is (2,-1) directrix is 2x+3y=1 and eccentricity =2

Find the equation of the hyperbola whose : focus is (2,-1) directrix is 2x+3y=1 and eccentricity =2

Find the equation of the ellipse whose focus is (5,6), equation of directrix x+y+2=0 and eccentricity is (1)/(2) .

The equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x+ 2y + 1= 0 and x^(2) + y^(2) + 4x+6y +6 = 0 is

The locus of the foot of perpendicular drawn from the centre of the ellipse x^2+""3y^2=""6 on any tangent to it is (1) (x^2-y^2)^2=""6x^2+""2y^2 (2) (x^2-y^2)^2=""6x^2-2y^2 (3) (x^2+y^2)^2=""6x^2+""2y^2 (4) (x^2+y^2)^2=""6x^2-2y^2

The locus of the foot of perpendicular drawn from the centre of the ellipse x^2+""3y^2=""6 on any tangent to it is (1) (x^2-y^2)^2=""6x^2+""2y^2 (2) (x^2-y^2)^2=""6x^2-2y^2 (3) (x^2+y^2)^2=""6x^2+""2y^2 (4) (x^2+y^2)^2=""6x^2-2y^2

The equation of the sphere concentric with the sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 and double its radius is (A) x^2+y^2+z^2-x+y-z=1 (B) x^2+y^2+z^2-6x+2y-4z=1 (C) 2x^2+2y^2+2z^2-6x+2y-4z-15=0 (D) 2x^2+2y^2+2z^2-6x+2y-4z-25=0

Combined equations of asymptotes of the hyperbola 2 x^(2)-3 y^(2)+4 x-6 y=0, is

The equation of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9=1 , and having centre at (0, 3) is (1) x^2+y^2-6y+7=0 (2) x^2+y^2-6y-5=0 (3) x^2+y^2-6y+5=0 (4) x^2+y^2-6y-7=0

The equation of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9=1 , and having centre at (0, 3) is (1) x^2+y^2-6y+7=0 (2) x^2+y^2-6y-5=0 (3) x^2+y^2-6y+5=0 (4) x^2+y^2-6y-7=0