The straight lines represented by `x^2+m x y-2y^2+3y-1=0` meet at (a)`(-1/3,2/3)` (b) `(-1/3,-2/3)` (c)`(1/3,2/3)` (d) none of these

The straight lines represented by x^(2)+mxy-2y^(2)+3y-1=0 meet at (a)(-(1)/(3),(2)/(3))( b) (-(1)/(3),-(2)/(3))(c)((1)/(3),(2)/(3)) (d) none of these

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (1/2,1/3) (d) none of these

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

The separate equations of the lines represented by the line equation 8(x-1)^(2)+10(x-1)(y-3)-3(y-3)^(2)=0 are

The vertex of the parabola y^(2) - 4 y - x + 3 = 0 is a) (-1,3) b) (-1,2) c) (2,-1) d) (3,-1)

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)

If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then its centre is a. (3,-1) b. (3,1) c. (-3,1) d. none of these

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=3 (c) x+y=2 (d) none of these

The point of intersection of the straight line (x-2)/(2) = (y-1)/(-3) = (z+2)/(1) with the plane x+3y - z + 1=0 is a) (3,-1,1) b) (-5,1,-1) c) (2,0,3) d) (4,-2,-1)