If the lines joining the points of intersection of the curve `4x^2+9y+18 x y=1` and the line `y=2x+c` to the origin are equally inclined to the y-axis, the `c` is: `-1` (b) `1/3` (c) `2/3` (d) `-1/2`

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are

If the lines joining the origin to the points of intersection of the line y=mx+2 and the curve x^(2)+y^(2)=1 are at right-angles, then

The lines joining the origin to the points of intersection of 2x^2 + 3xy -4x +1 = 0 and 3x + y=.1 given by

If the straight lines joining the origin and the points of intersection ofthe curve 5x^2 + 1 2xy-6y^2 + 4x-2y+ 3=0 and x + ky-1=0 are equally inclined to the co-ordinate axes then the value of k

The equation of pair of lines joining origin to the points of intersection of x^2 + y^2 =9 and x + y = 3

The value of lambda for which the lines joining the point of intersection of curves C_(1) and C_(2) to the origin are equally inclined to the axis of x. C_(1):lambdax^(2)+3y^(2)-2lambdaxy+9x=0, C_(2):3x^(2)-4y^(2)+8xy-3x=0

If the lines joining the origin to the intersection of the line y=nx+2 and the curve x^2+y^2=1 are at right angles, then the value of n^2 is

The limiting position of the point of intersection of the lines 3x+4y=1 and (1+c)x+3c^2 y=2 as c tends to 1, is

The lines joining the origin to the points of intersection of the line 4x+3y=24 with the circle (x-3)^(2)+(y-4)^(2)=25 are

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2 (b) x-y=2 2x-y=1 (d) none of these