[" 9.If "(4,-3)" divides the line segment between "],[" the axes in the ratio "4:5" then its equation is "],[1,15x+16y-12=0" 2) "3x-4y-24=0],[" 3) "15x-16y+108=04,15x-16y-108=0]

The distance between the two lines represented by the equation 9x^2-24xy+16y^2-12x+16y-12=0 is

The distance between the two lines represented by the equation 9x^2-24xy+16y^2-12x+16y-12 =0

A variable straight line of slope 4 intersects the hyperbola xy=1 at two points. Then the locus of the point which divides the line segment between these two points in the ratio 1:2 , is (A) x^2 + 16y^2 + 10xy+2=0 (B) x^2 + 16y^2 + 2xy-10=0 (C) x^2 + 16y^2 - 8xy + 19 = 0 (D) 16x^2 + y^2 + 10xy-2=0

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

A line is such that its segment between the lines 5x-y+4=0 and 3x+4y-4=0 is bisected at the point (1,5). Obtain its equation

Find the centre, length of the axes, eccentricity and foci of the ellipse : 12x^2+4y^2+ 24x -16y+25=0 .

Find the centre the lengths of the axes, eccentricity,foci of the following ellipse: 4x^(2)+16y^(2)-24x-32y-2=0

Find the distance between the parallel lines. 15x+8y-34=0 and 30x+16y+62=0

(ii)Find the distance between the pair of lines 15x+8y-34=0 and 30x+16y+62=0 .