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

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

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

Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^2+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^2+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

18. The straight lines joining the origin to the points of intersection of the line 4x + 3y = 24 with the curve (x - 3)^2 + (y - 4)^2 = 25 :

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 origin to the points of intersection of the line x+y=1 with the curve x^2+y^2 +x-2y -m =0 are perpendicular to each other , then the value of m should be

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

Equation of straight liens joining the origin and points of intersection of the line 3x+4y-5=0 and the curve 2x^2+3y^2=5 is (a) x^2-y^2=24 x y (b) x^2+y^2=24 x y (c) x^2+y^2=x y (d) None of these

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6