The co-ordinates of the centre of the hyperbola, `x^2+3x y+3y^2+2x+3y+2=0` is `(-1,0)` (b) (1, 0) `(-1,1)` (d) `(1,-1)`

The centre of the hyperbola 2xy+3x+4y+1=0 is

Which of the following is a point on the common chord of the circle x^(2)+y^(2)+2x-3y+6=0 and x^(2)+y^(2)+x-8y-31=0?(1,-2)(b)(1,4)(1,2)(d)1,4)

The equation of the transvers axis of the hyperbola (x-3)^(2)+(y+1)^(2)=(4x+3y)^(2) is x+3y=0 (b) 4x+3y=93x-4y=13 (d) 4x+3y=0

The radical centre of the circles x^(2)+y^(2)=9 , x^(2)+y^(2)-2x-2y-5=0 , x^(2)+y^(2)+4x+6y-19=0 is A) (0,0) (B) (1,1) (C) (2,2) (D) (3,3)

1) 2x-3y = 6 If a st. line passes through the point line on the co-ordinate axes, then the equation of the line is 3x + 2y-1 0 2) 2x+3y-2 0 2)2x+3y-6=0 3) 2x +3y +6 04) 2x -3y +50 5' 5 and ab =-, where a, b are the intercepts of the 3) 4x +y-1-0 4) x +4y-1-0

Find the length of chord x-3y-3=0 of hyperbola (x^(2))/(9)-(y^(2))/(4)=1

If the co-ordinates of the vertices of an equilateral triangle with sides of length a are (x_1,y_1), (x_2, y_2), (x_3, y_3), then |[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]|=(3a^4)/4

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

Find the equation of a circle, the co-ordinates of the ends of whose diameter are (-1,-3) and (2,5) Now the equation of circle (x-x_(1))(x-x_(2))+(y-y_(1))(y-y_(2))=0 rArr(x+1)(x-2)+(y+3)(y-5)=0 rArr x^(2)-x-2+ y^(2)-2y-15=0 rArr x^(2)+y^(2)-x-2y-17=0 We is the required equation.

The equation of common tangent at the point of contact of two parabola y^(2)=x and 2y=2x^(2)-5x+1 is x+y+1=0 (B) x+2y+1=0( C) x-2y-1=0( D )-x+2y-1=0